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Simplifying 4(6x + -5) + 2(13 + -4x) + -5(3x + 4) = -18 Reorder the terms: 4(-5 + 6x) + 2(13 + -4x) + -5(3x + 4) = -18 (-5 * 4 + 6x * 4) + 2(13 + -4x) + -5(3x + 4) = -18 (-20 + 24x) + 2(13 + -4x) + -5(3x + 4) = -18 -20 + 24x + (13 * 2 + -4x * 2) + -5(3x + 4) = -18 -20 + 24x + (26 + -8x) + -5(3x + 4) = -18 Reorder the terms: -20 + 24x + 26 + -8x + -5(4 + 3x) = -18 -20 + 24x + 26 + -8x + (4 * -5 + 3x * -5) = -18 -20 + 24x + 26 + -8x + (-20 + -15x) = -18 Reorder the terms: -20 + 26 + -20 + 24x + -8x + -15x = -18 Combine like terms: -20 + 26 = 6 6 + -20 + 24x + -8x + -15x = -18 Combine like terms: 6 + -20 = -14 -14 + 24x + -8x + -15x = -18 Combine like terms: 24x + -8x = 16x -14 + 16x + -15x = -18 Combine like terms: 16x + -15x = 1x -14 + 1x = -18 Solving -14 + 1x = -18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 1x = -18 + 14 Combine like terms: -14 + 14 = 0 0 + 1x = -18 + 14 1x = -18 + 14 Combine like terms: -18 + 14 = -4 1x = -4 Divide each side by '1'. x = -4 Simplifying x = -4
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