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Simplifying 4(x + -3) + -2(3x + -2) = 5(3 + -2x) Reorder the terms: 4(-3 + x) + -2(3x + -2) = 5(3 + -2x) (-3 * 4 + x * 4) + -2(3x + -2) = 5(3 + -2x) (-12 + 4x) + -2(3x + -2) = 5(3 + -2x) Reorder the terms: -12 + 4x + -2(-2 + 3x) = 5(3 + -2x) -12 + 4x + (-2 * -2 + 3x * -2) = 5(3 + -2x) -12 + 4x + (4 + -6x) = 5(3 + -2x) Reorder the terms: -12 + 4 + 4x + -6x = 5(3 + -2x) Combine like terms: -12 + 4 = -8 -8 + 4x + -6x = 5(3 + -2x) Combine like terms: 4x + -6x = -2x -8 + -2x = 5(3 + -2x) -8 + -2x = (3 * 5 + -2x * 5) -8 + -2x = (15 + -10x) Solving -8 + -2x = 15 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -8 + -2x + 10x = 15 + -10x + 10x Combine like terms: -2x + 10x = 8x -8 + 8x = 15 + -10x + 10x Combine like terms: -10x + 10x = 0 -8 + 8x = 15 + 0 -8 + 8x = 15 Add '8' to each side of the equation. -8 + 8 + 8x = 15 + 8 Combine like terms: -8 + 8 = 0 0 + 8x = 15 + 8 8x = 15 + 8 Combine like terms: 15 + 8 = 23 8x = 23 Divide each side by '8'. x = 2.875 Simplifying x = 2.875
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