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Simplifying 9(x + -3) + 3 = 9x + -3(3 + -1x) Reorder the terms: 9(-3 + x) + 3 = 9x + -3(3 + -1x) (-3 * 9 + x * 9) + 3 = 9x + -3(3 + -1x) (-27 + 9x) + 3 = 9x + -3(3 + -1x) Reorder the terms: -27 + 3 + 9x = 9x + -3(3 + -1x) Combine like terms: -27 + 3 = -24 -24 + 9x = 9x + -3(3 + -1x) -24 + 9x = 9x + (3 * -3 + -1x * -3) -24 + 9x = 9x + (-9 + 3x) Reorder the terms: -24 + 9x = -9 + 9x + 3x Combine like terms: 9x + 3x = 12x -24 + 9x = -9 + 12x Solving -24 + 9x = -9 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -24 + 9x + -12x = -9 + 12x + -12x Combine like terms: 9x + -12x = -3x -24 + -3x = -9 + 12x + -12x Combine like terms: 12x + -12x = 0 -24 + -3x = -9 + 0 -24 + -3x = -9 Add '24' to each side of the equation. -24 + 24 + -3x = -9 + 24 Combine like terms: -24 + 24 = 0 0 + -3x = -9 + 24 -3x = -9 + 24 Combine like terms: -9 + 24 = 15 -3x = 15 Divide each side by '-3'. x = -5 Simplifying x = -5
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