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Simplifying 8x + 6(-2x + 5) = 2x + -18 Reorder the terms: 8x + 6(5 + -2x) = 2x + -18 8x + (5 * 6 + -2x * 6) = 2x + -18 8x + (30 + -12x) = 2x + -18 Reorder the terms: 30 + 8x + -12x = 2x + -18 Combine like terms: 8x + -12x = -4x 30 + -4x = 2x + -18 Reorder the terms: 30 + -4x = -18 + 2x Solving 30 + -4x = -18 + 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. 30 + -4x + -2x = -18 + 2x + -2x Combine like terms: -4x + -2x = -6x 30 + -6x = -18 + 2x + -2x Combine like terms: 2x + -2x = 0 30 + -6x = -18 + 0 30 + -6x = -18 Add '-30' to each side of the equation. 30 + -30 + -6x = -18 + -30 Combine like terms: 30 + -30 = 0 0 + -6x = -18 + -30 -6x = -18 + -30 Combine like terms: -18 + -30 = -48 -6x = -48 Divide each side by '-6'. x = 8 Simplifying x = 8
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