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Simplifying 3(2x + -5) + -10x = 12 + 5(x + -3) Reorder the terms: 3(-5 + 2x) + -10x = 12 + 5(x + -3) (-5 * 3 + 2x * 3) + -10x = 12 + 5(x + -3) (-15 + 6x) + -10x = 12 + 5(x + -3) Combine like terms: 6x + -10x = -4x -15 + -4x = 12 + 5(x + -3) Reorder the terms: -15 + -4x = 12 + 5(-3 + x) -15 + -4x = 12 + (-3 * 5 + x * 5) -15 + -4x = 12 + (-15 + 5x) Combine like terms: 12 + -15 = -3 -15 + -4x = -3 + 5x Solving -15 + -4x = -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. -15 + -4x + -5x = -3 + 5x + -5x Combine like terms: -4x + -5x = -9x -15 + -9x = -3 + 5x + -5x Combine like terms: 5x + -5x = 0 -15 + -9x = -3 + 0 -15 + -9x = -3 Add '15' to each side of the equation. -15 + 15 + -9x = -3 + 15 Combine like terms: -15 + 15 = 0 0 + -9x = -3 + 15 -9x = -3 + 15 Combine like terms: -3 + 15 = 12 -9x = 12 Divide each side by '-9'. x = -1.333333333 Simplifying x = -1.333333333
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