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Simplifying 2(5x + -2) + -3(2x + 1) = 5(x + -3) Reorder the terms: 2(-2 + 5x) + -3(2x + 1) = 5(x + -3) (-2 * 2 + 5x * 2) + -3(2x + 1) = 5(x + -3) (-4 + 10x) + -3(2x + 1) = 5(x + -3) Reorder the terms: -4 + 10x + -3(1 + 2x) = 5(x + -3) -4 + 10x + (1 * -3 + 2x * -3) = 5(x + -3) -4 + 10x + (-3 + -6x) = 5(x + -3) Reorder the terms: -4 + -3 + 10x + -6x = 5(x + -3) Combine like terms: -4 + -3 = -7 -7 + 10x + -6x = 5(x + -3) Combine like terms: 10x + -6x = 4x -7 + 4x = 5(x + -3) Reorder the terms: -7 + 4x = 5(-3 + x) -7 + 4x = (-3 * 5 + x * 5) -7 + 4x = (-15 + 5x) Solving -7 + 4x = -15 + 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. -7 + 4x + -5x = -15 + 5x + -5x Combine like terms: 4x + -5x = -1x -7 + -1x = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 + -1x = -15 + 0 -7 + -1x = -15 Add '7' to each side of the equation. -7 + 7 + -1x = -15 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = -15 + 7 -1x = -15 + 7 Combine like terms: -15 + 7 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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