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Simplifying 8(x + 6) = -2(3x + 4) Reorder the terms: 8(6 + x) = -2(3x + 4) (6 * 8 + x * 8) = -2(3x + 4) (48 + 8x) = -2(3x + 4) Reorder the terms: 48 + 8x = -2(4 + 3x) 48 + 8x = (4 * -2 + 3x * -2) 48 + 8x = (-8 + -6x) Solving 48 + 8x = -8 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 48 + 8x + 6x = -8 + -6x + 6x Combine like terms: 8x + 6x = 14x 48 + 14x = -8 + -6x + 6x Combine like terms: -6x + 6x = 0 48 + 14x = -8 + 0 48 + 14x = -8 Add '-48' to each side of the equation. 48 + -48 + 14x = -8 + -48 Combine like terms: 48 + -48 = 0 0 + 14x = -8 + -48 14x = -8 + -48 Combine like terms: -8 + -48 = -56 14x = -56 Divide each side by '14'. x = -4 Simplifying x = -4
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