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Simplifying -3(-1 + 10x) + 12(x + 4) = -9x + 8x (-1 * -3 + 10x * -3) + 12(x + 4) = -9x + 8x (3 + -30x) + 12(x + 4) = -9x + 8x Reorder the terms: 3 + -30x + 12(4 + x) = -9x + 8x 3 + -30x + (4 * 12 + x * 12) = -9x + 8x 3 + -30x + (48 + 12x) = -9x + 8x Reorder the terms: 3 + 48 + -30x + 12x = -9x + 8x Combine like terms: 3 + 48 = 51 51 + -30x + 12x = -9x + 8x Combine like terms: -30x + 12x = -18x 51 + -18x = -9x + 8x Combine like terms: -9x + 8x = -1x 51 + -18x = -1x Solving 51 + -18x = -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 51 + -18x + x = -1x + x Combine like terms: -18x + x = -17x 51 + -17x = -1x + x Combine like terms: -1x + x = 0 51 + -17x = 0 Add '-51' to each side of the equation. 51 + -51 + -17x = 0 + -51 Combine like terms: 51 + -51 = 0 0 + -17x = 0 + -51 -17x = 0 + -51 Combine like terms: 0 + -51 = -51 -17x = -51 Divide each side by '-17'. x = 3 Simplifying x = 3
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