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Simplifying 7 + -2(x + -8) = 3x + -1(4 + -1x) Reorder the terms: 7 + -2(-8 + x) = 3x + -1(4 + -1x) 7 + (-8 * -2 + x * -2) = 3x + -1(4 + -1x) 7 + (16 + -2x) = 3x + -1(4 + -1x) Combine like terms: 7 + 16 = 23 23 + -2x = 3x + -1(4 + -1x) 23 + -2x = 3x + (4 * -1 + -1x * -1) 23 + -2x = 3x + (-4 + 1x) Reorder the terms: 23 + -2x = -4 + 3x + 1x Combine like terms: 3x + 1x = 4x 23 + -2x = -4 + 4x Solving 23 + -2x = -4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 23 + -2x + -4x = -4 + 4x + -4x Combine like terms: -2x + -4x = -6x 23 + -6x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 23 + -6x = -4 + 0 23 + -6x = -4 Add '-23' to each side of the equation. 23 + -23 + -6x = -4 + -23 Combine like terms: 23 + -23 = 0 0 + -6x = -4 + -23 -6x = -4 + -23 Combine like terms: -4 + -23 = -27 -6x = -27 Divide each side by '-6'. x = 4.5 Simplifying x = 4.5
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