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Simplifying 3(2x + -4) + -3 = 3(x + -2) + 9 Reorder the terms: 3(-4 + 2x) + -3 = 3(x + -2) + 9 (-4 * 3 + 2x * 3) + -3 = 3(x + -2) + 9 (-12 + 6x) + -3 = 3(x + -2) + 9 Reorder the terms: -12 + -3 + 6x = 3(x + -2) + 9 Combine like terms: -12 + -3 = -15 -15 + 6x = 3(x + -2) + 9 Reorder the terms: -15 + 6x = 3(-2 + x) + 9 -15 + 6x = (-2 * 3 + x * 3) + 9 -15 + 6x = (-6 + 3x) + 9 Reorder the terms: -15 + 6x = -6 + 9 + 3x Combine like terms: -6 + 9 = 3 -15 + 6x = 3 + 3x Solving -15 + 6x = 3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -15 + 6x + -3x = 3 + 3x + -3x Combine like terms: 6x + -3x = 3x -15 + 3x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 -15 + 3x = 3 + 0 -15 + 3x = 3 Add '15' to each side of the equation. -15 + 15 + 3x = 3 + 15 Combine like terms: -15 + 15 = 0 0 + 3x = 3 + 15 3x = 3 + 15 Combine like terms: 3 + 15 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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