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Simplifying 8 + -4 = 2x + -5(2x + 1) + -7 Combine like terms: 8 + -4 = 4 4 = 2x + -5(2x + 1) + -7 Reorder the terms: 4 = 2x + -5(1 + 2x) + -7 4 = 2x + (1 * -5 + 2x * -5) + -7 4 = 2x + (-5 + -10x) + -7 Reorder the terms: 4 = -5 + -7 + 2x + -10x Combine like terms: -5 + -7 = -12 4 = -12 + 2x + -10x Combine like terms: 2x + -10x = -8x 4 = -12 + -8x Solving 4 = -12 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 4 + 8x = -12 + -8x + 8x Combine like terms: -8x + 8x = 0 4 + 8x = -12 + 0 4 + 8x = -12 Add '-4' to each side of the equation. 4 + -4 + 8x = -12 + -4 Combine like terms: 4 + -4 = 0 0 + 8x = -12 + -4 8x = -12 + -4 Combine like terms: -12 + -4 = -16 8x = -16 Divide each side by '8'. x = -2 Simplifying x = -2
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