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Simplifying 6(x + -2) = 10(x + -3) + -12 Reorder the terms: 6(-2 + x) = 10(x + -3) + -12 (-2 * 6 + x * 6) = 10(x + -3) + -12 (-12 + 6x) = 10(x + -3) + -12 Reorder the terms: -12 + 6x = 10(-3 + x) + -12 -12 + 6x = (-3 * 10 + x * 10) + -12 -12 + 6x = (-30 + 10x) + -12 Reorder the terms: -12 + 6x = -30 + -12 + 10x Combine like terms: -30 + -12 = -42 -12 + 6x = -42 + 10x Solving -12 + 6x = -42 + 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. -12 + 6x + -10x = -42 + 10x + -10x Combine like terms: 6x + -10x = -4x -12 + -4x = -42 + 10x + -10x Combine like terms: 10x + -10x = 0 -12 + -4x = -42 + 0 -12 + -4x = -42 Add '12' to each side of the equation. -12 + 12 + -4x = -42 + 12 Combine like terms: -12 + 12 = 0 0 + -4x = -42 + 12 -4x = -42 + 12 Combine like terms: -42 + 12 = -30 -4x = -30 Divide each side by '-4'. x = 7.5 Simplifying x = 7.5
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