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Simplifying 8 + -5x = 8(x + -1) + -2(6 + 3x) Reorder the terms: 8 + -5x = 8(-1 + x) + -2(6 + 3x) 8 + -5x = (-1 * 8 + x * 8) + -2(6 + 3x) 8 + -5x = (-8 + 8x) + -2(6 + 3x) 8 + -5x = -8 + 8x + (6 * -2 + 3x * -2) 8 + -5x = -8 + 8x + (-12 + -6x) Reorder the terms: 8 + -5x = -8 + -12 + 8x + -6x Combine like terms: -8 + -12 = -20 8 + -5x = -20 + 8x + -6x Combine like terms: 8x + -6x = 2x 8 + -5x = -20 + 2x Solving 8 + -5x = -20 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 8 + -5x + -2x = -20 + 2x + -2x Combine like terms: -5x + -2x = -7x 8 + -7x = -20 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + -7x = -20 + 0 8 + -7x = -20 Add '-8' to each side of the equation. 8 + -8 + -7x = -20 + -8 Combine like terms: 8 + -8 = 0 0 + -7x = -20 + -8 -7x = -20 + -8 Combine like terms: -20 + -8 = -28 -7x = -28 Divide each side by '-7'. x = 4 Simplifying x = 4
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