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Simplifying 3(x + -4) = 6(x + 5) Reorder the terms: 3(-4 + x) = 6(x + 5) (-4 * 3 + x * 3) = 6(x + 5) (-12 + 3x) = 6(x + 5) Reorder the terms: -12 + 3x = 6(5 + x) -12 + 3x = (5 * 6 + x * 6) -12 + 3x = (30 + 6x) Solving -12 + 3x = 30 + 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. -12 + 3x + -6x = 30 + 6x + -6x Combine like terms: 3x + -6x = -3x -12 + -3x = 30 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + -3x = 30 + 0 -12 + -3x = 30 Add '12' to each side of the equation. -12 + 12 + -3x = 30 + 12 Combine like terms: -12 + 12 = 0 0 + -3x = 30 + 12 -3x = 30 + 12 Combine like terms: 30 + 12 = 42 -3x = 42 Divide each side by '-3'. x = -14 Simplifying x = -14
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