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Simplifying 3(x + 5) + 4(5x + -6) + -3 = 2(x + 4) + -6(3x + 2) Reorder the terms: 3(5 + x) + 4(5x + -6) + -3 = 2(x + 4) + -6(3x + 2) (5 * 3 + x * 3) + 4(5x + -6) + -3 = 2(x + 4) + -6(3x + 2) (15 + 3x) + 4(5x + -6) + -3 = 2(x + 4) + -6(3x + 2) Reorder the terms: 15 + 3x + 4(-6 + 5x) + -3 = 2(x + 4) + -6(3x + 2) 15 + 3x + (-6 * 4 + 5x * 4) + -3 = 2(x + 4) + -6(3x + 2) 15 + 3x + (-24 + 20x) + -3 = 2(x + 4) + -6(3x + 2) Reorder the terms: 15 + -24 + -3 + 3x + 20x = 2(x + 4) + -6(3x + 2) Combine like terms: 15 + -24 = -9 -9 + -3 + 3x + 20x = 2(x + 4) + -6(3x + 2) Combine like terms: -9 + -3 = -12 -12 + 3x + 20x = 2(x + 4) + -6(3x + 2) Combine like terms: 3x + 20x = 23x -12 + 23x = 2(x + 4) + -6(3x + 2) Reorder the terms: -12 + 23x = 2(4 + x) + -6(3x + 2) -12 + 23x = (4 * 2 + x * 2) + -6(3x + 2) -12 + 23x = (8 + 2x) + -6(3x + 2) Reorder the terms: -12 + 23x = 8 + 2x + -6(2 + 3x) -12 + 23x = 8 + 2x + (2 * -6 + 3x * -6) -12 + 23x = 8 + 2x + (-12 + -18x) Reorder the terms: -12 + 23x = 8 + -12 + 2x + -18x Combine like terms: 8 + -12 = -4 -12 + 23x = -4 + 2x + -18x Combine like terms: 2x + -18x = -16x -12 + 23x = -4 + -16x Solving -12 + 23x = -4 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. -12 + 23x + 16x = -4 + -16x + 16x Combine like terms: 23x + 16x = 39x -12 + 39x = -4 + -16x + 16x Combine like terms: -16x + 16x = 0 -12 + 39x = -4 + 0 -12 + 39x = -4 Add '12' to each side of the equation. -12 + 12 + 39x = -4 + 12 Combine like terms: -12 + 12 = 0 0 + 39x = -4 + 12 39x = -4 + 12 Combine like terms: -4 + 12 = 8 39x = 8 Divide each side by '39'. x = 0.2051282051 Simplifying x = 0.2051282051
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