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Simplifying 2(5x + -6) + -3(4x + 2) = 5(x + 2) + -7 Reorder the terms: 2(-6 + 5x) + -3(4x + 2) = 5(x + 2) + -7 (-6 * 2 + 5x * 2) + -3(4x + 2) = 5(x + 2) + -7 (-12 + 10x) + -3(4x + 2) = 5(x + 2) + -7 Reorder the terms: -12 + 10x + -3(2 + 4x) = 5(x + 2) + -7 -12 + 10x + (2 * -3 + 4x * -3) = 5(x + 2) + -7 -12 + 10x + (-6 + -12x) = 5(x + 2) + -7 Reorder the terms: -12 + -6 + 10x + -12x = 5(x + 2) + -7 Combine like terms: -12 + -6 = -18 -18 + 10x + -12x = 5(x + 2) + -7 Combine like terms: 10x + -12x = -2x -18 + -2x = 5(x + 2) + -7 Reorder the terms: -18 + -2x = 5(2 + x) + -7 -18 + -2x = (2 * 5 + x * 5) + -7 -18 + -2x = (10 + 5x) + -7 Reorder the terms: -18 + -2x = 10 + -7 + 5x Combine like terms: 10 + -7 = 3 -18 + -2x = 3 + 5x Solving -18 + -2x = 3 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -18 + -2x + -5x = 3 + 5x + -5x Combine like terms: -2x + -5x = -7x -18 + -7x = 3 + 5x + -5x Combine like terms: 5x + -5x = 0 -18 + -7x = 3 + 0 -18 + -7x = 3 Add '18' to each side of the equation. -18 + 18 + -7x = 3 + 18 Combine like terms: -18 + 18 = 0 0 + -7x = 3 + 18 -7x = 3 + 18 Combine like terms: 3 + 18 = 21 -7x = 21 Divide each side by '-7'. x = -3 Simplifying x = -3
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