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Simplifying 6(x + -3) + 3 = 6x + -3(3 + -1x) Reorder the terms: 6(-3 + x) + 3 = 6x + -3(3 + -1x) (-3 * 6 + x * 6) + 3 = 6x + -3(3 + -1x) (-18 + 6x) + 3 = 6x + -3(3 + -1x) Reorder the terms: -18 + 3 + 6x = 6x + -3(3 + -1x) Combine like terms: -18 + 3 = -15 -15 + 6x = 6x + -3(3 + -1x) -15 + 6x = 6x + (3 * -3 + -1x * -3) -15 + 6x = 6x + (-9 + 3x) Reorder the terms: -15 + 6x = -9 + 6x + 3x Combine like terms: 6x + 3x = 9x -15 + 6x = -9 + 9x Solving -15 + 6x = -9 + 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. -15 + 6x + -9x = -9 + 9x + -9x Combine like terms: 6x + -9x = -3x -15 + -3x = -9 + 9x + -9x Combine like terms: 9x + -9x = 0 -15 + -3x = -9 + 0 -15 + -3x = -9 Add '15' to each side of the equation. -15 + 15 + -3x = -9 + 15 Combine like terms: -15 + 15 = 0 0 + -3x = -9 + 15 -3x = -9 + 15 Combine like terms: -9 + 15 = 6 -3x = 6 Divide each side by '-3'. x = -2 Simplifying x = -2
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