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Simplifying 6(x + 8) + -7x = -1(2x + -4) Reorder the terms: 6(8 + x) + -7x = -1(2x + -4) (8 * 6 + x * 6) + -7x = -1(2x + -4) (48 + 6x) + -7x = -1(2x + -4) Combine like terms: 6x + -7x = -1x 48 + -1x = -1(2x + -4) Reorder the terms: 48 + -1x = -1(-4 + 2x) 48 + -1x = (-4 * -1 + 2x * -1) 48 + -1x = (4 + -2x) Solving 48 + -1x = 4 + -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. 48 + -1x + 2x = 4 + -2x + 2x Combine like terms: -1x + 2x = 1x 48 + 1x = 4 + -2x + 2x Combine like terms: -2x + 2x = 0 48 + 1x = 4 + 0 48 + 1x = 4 Add '-48' to each side of the equation. 48 + -48 + 1x = 4 + -48 Combine like terms: 48 + -48 = 0 0 + 1x = 4 + -48 1x = 4 + -48 Combine like terms: 4 + -48 = -44 1x = -44 Divide each side by '1'. x = -44 Simplifying x = -44
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