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Simplifying 5(3x + -5) + 2(18 + -4x) + -2(3x + 4) = -6 Reorder the terms: 5(-5 + 3x) + 2(18 + -4x) + -2(3x + 4) = -6 (-5 * 5 + 3x * 5) + 2(18 + -4x) + -2(3x + 4) = -6 (-25 + 15x) + 2(18 + -4x) + -2(3x + 4) = -6 -25 + 15x + (18 * 2 + -4x * 2) + -2(3x + 4) = -6 -25 + 15x + (36 + -8x) + -2(3x + 4) = -6 Reorder the terms: -25 + 15x + 36 + -8x + -2(4 + 3x) = -6 -25 + 15x + 36 + -8x + (4 * -2 + 3x * -2) = -6 -25 + 15x + 36 + -8x + (-8 + -6x) = -6 Reorder the terms: -25 + 36 + -8 + 15x + -8x + -6x = -6 Combine like terms: -25 + 36 = 11 11 + -8 + 15x + -8x + -6x = -6 Combine like terms: 11 + -8 = 3 3 + 15x + -8x + -6x = -6 Combine like terms: 15x + -8x = 7x 3 + 7x + -6x = -6 Combine like terms: 7x + -6x = 1x 3 + 1x = -6 Solving 3 + 1x = -6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 1x = -6 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = -6 + -3 1x = -6 + -3 Combine like terms: -6 + -3 = -9 1x = -9 Divide each side by '1'. x = -9 Simplifying x = -9
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