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Simplifying 6(3x + -2) + -3(3x + -6) = 4(2x + 3) + -1 Reorder the terms: 6(-2 + 3x) + -3(3x + -6) = 4(2x + 3) + -1 (-2 * 6 + 3x * 6) + -3(3x + -6) = 4(2x + 3) + -1 (-12 + 18x) + -3(3x + -6) = 4(2x + 3) + -1 Reorder the terms: -12 + 18x + -3(-6 + 3x) = 4(2x + 3) + -1 -12 + 18x + (-6 * -3 + 3x * -3) = 4(2x + 3) + -1 -12 + 18x + (18 + -9x) = 4(2x + 3) + -1 Reorder the terms: -12 + 18 + 18x + -9x = 4(2x + 3) + -1 Combine like terms: -12 + 18 = 6 6 + 18x + -9x = 4(2x + 3) + -1 Combine like terms: 18x + -9x = 9x 6 + 9x = 4(2x + 3) + -1 Reorder the terms: 6 + 9x = 4(3 + 2x) + -1 6 + 9x = (3 * 4 + 2x * 4) + -1 6 + 9x = (12 + 8x) + -1 Reorder the terms: 6 + 9x = 12 + -1 + 8x Combine like terms: 12 + -1 = 11 6 + 9x = 11 + 8x Solving 6 + 9x = 11 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 6 + 9x + -8x = 11 + 8x + -8x Combine like terms: 9x + -8x = 1x 6 + 1x = 11 + 8x + -8x Combine like terms: 8x + -8x = 0 6 + 1x = 11 + 0 6 + 1x = 11 Add '-6' to each side of the equation. 6 + -6 + 1x = 11 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 11 + -6 1x = 11 + -6 Combine like terms: 11 + -6 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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