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Simplifying 2(5x + -6) + -3(1 + -1x) = 4 + -6(x + 2) Reorder the terms: 2(-6 + 5x) + -3(1 + -1x) = 4 + -6(x + 2) (-6 * 2 + 5x * 2) + -3(1 + -1x) = 4 + -6(x + 2) (-12 + 10x) + -3(1 + -1x) = 4 + -6(x + 2) -12 + 10x + (1 * -3 + -1x * -3) = 4 + -6(x + 2) -12 + 10x + (-3 + 3x) = 4 + -6(x + 2) Reorder the terms: -12 + -3 + 10x + 3x = 4 + -6(x + 2) Combine like terms: -12 + -3 = -15 -15 + 10x + 3x = 4 + -6(x + 2) Combine like terms: 10x + 3x = 13x -15 + 13x = 4 + -6(x + 2) Reorder the terms: -15 + 13x = 4 + -6(2 + x) -15 + 13x = 4 + (2 * -6 + x * -6) -15 + 13x = 4 + (-12 + -6x) Combine like terms: 4 + -12 = -8 -15 + 13x = -8 + -6x Solving -15 + 13x = -8 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -15 + 13x + 6x = -8 + -6x + 6x Combine like terms: 13x + 6x = 19x -15 + 19x = -8 + -6x + 6x Combine like terms: -6x + 6x = 0 -15 + 19x = -8 + 0 -15 + 19x = -8 Add '15' to each side of the equation. -15 + 15 + 19x = -8 + 15 Combine like terms: -15 + 15 = 0 0 + 19x = -8 + 15 19x = -8 + 15 Combine like terms: -8 + 15 = 7 19x = 7 Divide each side by '19'. x = 0.3684210526 Simplifying x = 0.3684210526
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