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Simplifying 4(5x + -3) + 2(15 + -2x) + -5(3x + 2) = -6 Reorder the terms: 4(-3 + 5x) + 2(15 + -2x) + -5(3x + 2) = -6 (-3 * 4 + 5x * 4) + 2(15 + -2x) + -5(3x + 2) = -6 (-12 + 20x) + 2(15 + -2x) + -5(3x + 2) = -6 -12 + 20x + (15 * 2 + -2x * 2) + -5(3x + 2) = -6 -12 + 20x + (30 + -4x) + -5(3x + 2) = -6 Reorder the terms: -12 + 20x + 30 + -4x + -5(2 + 3x) = -6 -12 + 20x + 30 + -4x + (2 * -5 + 3x * -5) = -6 -12 + 20x + 30 + -4x + (-10 + -15x) = -6 Reorder the terms: -12 + 30 + -10 + 20x + -4x + -15x = -6 Combine like terms: -12 + 30 = 18 18 + -10 + 20x + -4x + -15x = -6 Combine like terms: 18 + -10 = 8 8 + 20x + -4x + -15x = -6 Combine like terms: 20x + -4x = 16x 8 + 16x + -15x = -6 Combine like terms: 16x + -15x = 1x 8 + 1x = -6 Solving 8 + 1x = -6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 1x = -6 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = -6 + -8 1x = -6 + -8 Combine like terms: -6 + -8 = -14 1x = -14 Divide each side by '1'. x = -14 Simplifying x = -14
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