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Simplifying -3(3x + 3) + -2(1 + -14x) = 3(6 + 6x) Reorder the terms: -3(3 + 3x) + -2(1 + -14x) = 3(6 + 6x) (3 * -3 + 3x * -3) + -2(1 + -14x) = 3(6 + 6x) (-9 + -9x) + -2(1 + -14x) = 3(6 + 6x) -9 + -9x + (1 * -2 + -14x * -2) = 3(6 + 6x) -9 + -9x + (-2 + 28x) = 3(6 + 6x) Reorder the terms: -9 + -2 + -9x + 28x = 3(6 + 6x) Combine like terms: -9 + -2 = -11 -11 + -9x + 28x = 3(6 + 6x) Combine like terms: -9x + 28x = 19x -11 + 19x = 3(6 + 6x) -11 + 19x = (6 * 3 + 6x * 3) -11 + 19x = (18 + 18x) Solving -11 + 19x = 18 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -11 + 19x + -18x = 18 + 18x + -18x Combine like terms: 19x + -18x = 1x -11 + 1x = 18 + 18x + -18x Combine like terms: 18x + -18x = 0 -11 + 1x = 18 + 0 -11 + 1x = 18 Add '11' to each side of the equation. -11 + 11 + 1x = 18 + 11 Combine like terms: -11 + 11 = 0 0 + 1x = 18 + 11 1x = 18 + 11 Combine like terms: 18 + 11 = 29 1x = 29 Divide each side by '1'. x = 29 Simplifying x = 29
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