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Simplifying -2(x + 3) + 3(3x + -4) = 6(x + -3) + 14 Reorder the terms: -2(3 + x) + 3(3x + -4) = 6(x + -3) + 14 (3 * -2 + x * -2) + 3(3x + -4) = 6(x + -3) + 14 (-6 + -2x) + 3(3x + -4) = 6(x + -3) + 14 Reorder the terms: -6 + -2x + 3(-4 + 3x) = 6(x + -3) + 14 -6 + -2x + (-4 * 3 + 3x * 3) = 6(x + -3) + 14 -6 + -2x + (-12 + 9x) = 6(x + -3) + 14 Reorder the terms: -6 + -12 + -2x + 9x = 6(x + -3) + 14 Combine like terms: -6 + -12 = -18 -18 + -2x + 9x = 6(x + -3) + 14 Combine like terms: -2x + 9x = 7x -18 + 7x = 6(x + -3) + 14 Reorder the terms: -18 + 7x = 6(-3 + x) + 14 -18 + 7x = (-3 * 6 + x * 6) + 14 -18 + 7x = (-18 + 6x) + 14 Reorder the terms: -18 + 7x = -18 + 14 + 6x Combine like terms: -18 + 14 = -4 -18 + 7x = -4 + 6x Solving -18 + 7x = -4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -18 + 7x + -6x = -4 + 6x + -6x Combine like terms: 7x + -6x = 1x -18 + 1x = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 -18 + 1x = -4 + 0 -18 + 1x = -4 Add '18' to each side of the equation. -18 + 18 + 1x = -4 + 18 Combine like terms: -18 + 18 = 0 0 + 1x = -4 + 18 1x = -4 + 18 Combine like terms: -4 + 18 = 14 1x = 14 Divide each side by '1'. x = 14 Simplifying x = 14
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