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Simplifying 3(6x + -3) + 2(11 + -4x) = 3(3x + 1) + -1 Reorder the terms: 3(-3 + 6x) + 2(11 + -4x) = 3(3x + 1) + -1 (-3 * 3 + 6x * 3) + 2(11 + -4x) = 3(3x + 1) + -1 (-9 + 18x) + 2(11 + -4x) = 3(3x + 1) + -1 -9 + 18x + (11 * 2 + -4x * 2) = 3(3x + 1) + -1 -9 + 18x + (22 + -8x) = 3(3x + 1) + -1 Reorder the terms: -9 + 22 + 18x + -8x = 3(3x + 1) + -1 Combine like terms: -9 + 22 = 13 13 + 18x + -8x = 3(3x + 1) + -1 Combine like terms: 18x + -8x = 10x 13 + 10x = 3(3x + 1) + -1 Reorder the terms: 13 + 10x = 3(1 + 3x) + -1 13 + 10x = (1 * 3 + 3x * 3) + -1 13 + 10x = (3 + 9x) + -1 Reorder the terms: 13 + 10x = 3 + -1 + 9x Combine like terms: 3 + -1 = 2 13 + 10x = 2 + 9x Solving 13 + 10x = 2 + 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. 13 + 10x + -9x = 2 + 9x + -9x Combine like terms: 10x + -9x = 1x 13 + 1x = 2 + 9x + -9x Combine like terms: 9x + -9x = 0 13 + 1x = 2 + 0 13 + 1x = 2 Add '-13' to each side of the equation. 13 + -13 + 1x = 2 + -13 Combine like terms: 13 + -13 = 0 0 + 1x = 2 + -13 1x = 2 + -13 Combine like terms: 2 + -13 = -11 1x = -11 Divide each side by '1'. x = -11 Simplifying x = -11
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