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Simplifying 6(x + 9) + 4 = -2(x + -5) + -2 Reorder the terms: 6(9 + x) + 4 = -2(x + -5) + -2 (9 * 6 + x * 6) + 4 = -2(x + -5) + -2 (54 + 6x) + 4 = -2(x + -5) + -2 Reorder the terms: 54 + 4 + 6x = -2(x + -5) + -2 Combine like terms: 54 + 4 = 58 58 + 6x = -2(x + -5) + -2 Reorder the terms: 58 + 6x = -2(-5 + x) + -2 58 + 6x = (-5 * -2 + x * -2) + -2 58 + 6x = (10 + -2x) + -2 Reorder the terms: 58 + 6x = 10 + -2 + -2x Combine like terms: 10 + -2 = 8 58 + 6x = 8 + -2x Solving 58 + 6x = 8 + -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. 58 + 6x + 2x = 8 + -2x + 2x Combine like terms: 6x + 2x = 8x 58 + 8x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 58 + 8x = 8 + 0 58 + 8x = 8 Add '-58' to each side of the equation. 58 + -58 + 8x = 8 + -58 Combine like terms: 58 + -58 = 0 0 + 8x = 8 + -58 8x = 8 + -58 Combine like terms: 8 + -58 = -50 8x = -50 Divide each side by '8'. x = -6.25 Simplifying x = -6.25
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