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Simplifying 6(x + -3) + 9 = 3(3x + -4) Reorder the terms: 6(-3 + x) + 9 = 3(3x + -4) (-3 * 6 + x * 6) + 9 = 3(3x + -4) (-18 + 6x) + 9 = 3(3x + -4) Reorder the terms: -18 + 9 + 6x = 3(3x + -4) Combine like terms: -18 + 9 = -9 -9 + 6x = 3(3x + -4) Reorder the terms: -9 + 6x = 3(-4 + 3x) -9 + 6x = (-4 * 3 + 3x * 3) -9 + 6x = (-12 + 9x) Solving -9 + 6x = -12 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -9 + 6x + -9x = -12 + 9x + -9x Combine like terms: 6x + -9x = -3x -9 + -3x = -12 + 9x + -9x Combine like terms: 9x + -9x = 0 -9 + -3x = -12 + 0 -9 + -3x = -12 Add '9' to each side of the equation. -9 + 9 + -3x = -12 + 9 Combine like terms: -9 + 9 = 0 0 + -3x = -12 + 9 -3x = -12 + 9 Combine like terms: -12 + 9 = -3 -3x = -3 Divide each side by '-3'. x = 1 Simplifying x = 1
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