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Simplifying 6(x + 8) = -3(x + -43) Reorder the terms: 6(8 + x) = -3(x + -43) (8 * 6 + x * 6) = -3(x + -43) (48 + 6x) = -3(x + -43) Reorder the terms: 48 + 6x = -3(-43 + x) 48 + 6x = (-43 * -3 + x * -3) 48 + 6x = (129 + -3x) Solving 48 + 6x = 129 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 48 + 6x + 3x = 129 + -3x + 3x Combine like terms: 6x + 3x = 9x 48 + 9x = 129 + -3x + 3x Combine like terms: -3x + 3x = 0 48 + 9x = 129 + 0 48 + 9x = 129 Add '-48' to each side of the equation. 48 + -48 + 9x = 129 + -48 Combine like terms: 48 + -48 = 0 0 + 9x = 129 + -48 9x = 129 + -48 Combine like terms: 129 + -48 = 81 9x = 81 Divide each side by '9'. x = 9 Simplifying x = 9
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