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Simplifying 5(4 + -3x) + 2(6 + x) = -7 (4 * 5 + -3x * 5) + 2(6 + x) = -7 (20 + -15x) + 2(6 + x) = -7 20 + -15x + (6 * 2 + x * 2) = -7 20 + -15x + (12 + 2x) = -7 Reorder the terms: 20 + 12 + -15x + 2x = -7 Combine like terms: 20 + 12 = 32 32 + -15x + 2x = -7 Combine like terms: -15x + 2x = -13x 32 + -13x = -7 Solving 32 + -13x = -7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -13x = -7 + -32 Combine like terms: 32 + -32 = 0 0 + -13x = -7 + -32 -13x = -7 + -32 Combine like terms: -7 + -32 = -39 -13x = -39 Divide each side by '-13'. x = 3 Simplifying x = 3
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