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Simplifying 12x(3 + 1) + -7x = 2(x + 5) + -8(2x + 3) Combine like terms: 3 + 1 = 4 12x(4) + -7x = 2(x + 5) + -8(2x + 3) Reorder the terms for easier multiplication: 12 * 4x + -7x = 2(x + 5) + -8(2x + 3) Multiply 12 * 4 48x + -7x = 2(x + 5) + -8(2x + 3) Combine like terms: 48x + -7x = 41x 41x = 2(x + 5) + -8(2x + 3) Reorder the terms: 41x = 2(5 + x) + -8(2x + 3) 41x = (5 * 2 + x * 2) + -8(2x + 3) 41x = (10 + 2x) + -8(2x + 3) Reorder the terms: 41x = 10 + 2x + -8(3 + 2x) 41x = 10 + 2x + (3 * -8 + 2x * -8) 41x = 10 + 2x + (-24 + -16x) Reorder the terms: 41x = 10 + -24 + 2x + -16x Combine like terms: 10 + -24 = -14 41x = -14 + 2x + -16x Combine like terms: 2x + -16x = -14x 41x = -14 + -14x Solving 41x = -14 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 41x + 14x = -14 + -14x + 14x Combine like terms: 41x + 14x = 55x 55x = -14 + -14x + 14x Combine like terms: -14x + 14x = 0 55x = -14 + 0 55x = -14 Divide each side by '55'. x = -0.2545454545 Simplifying x = -0.2545454545
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