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Simplifying 6(x + 8) + 3x = -2(x + -2) Reorder the terms: 6(8 + x) + 3x = -2(x + -2) (8 * 6 + x * 6) + 3x = -2(x + -2) (48 + 6x) + 3x = -2(x + -2) Combine like terms: 6x + 3x = 9x 48 + 9x = -2(x + -2) Reorder the terms: 48 + 9x = -2(-2 + x) 48 + 9x = (-2 * -2 + x * -2) 48 + 9x = (4 + -2x) Solving 48 + 9x = 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 + 9x + 2x = 4 + -2x + 2x Combine like terms: 9x + 2x = 11x 48 + 11x = 4 + -2x + 2x Combine like terms: -2x + 2x = 0 48 + 11x = 4 + 0 48 + 11x = 4 Add '-48' to each side of the equation. 48 + -48 + 11x = 4 + -48 Combine like terms: 48 + -48 = 0 0 + 11x = 4 + -48 11x = 4 + -48 Combine like terms: 4 + -48 = -44 11x = -44 Divide each side by '11'. x = -4 Simplifying x = -4
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