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Simplifying 7 + 4(2x + -1) = 3x + -5(x + -6) Reorder the terms: 7 + 4(-1 + 2x) = 3x + -5(x + -6) 7 + (-1 * 4 + 2x * 4) = 3x + -5(x + -6) 7 + (-4 + 8x) = 3x + -5(x + -6) Combine like terms: 7 + -4 = 3 3 + 8x = 3x + -5(x + -6) Reorder the terms: 3 + 8x = 3x + -5(-6 + x) 3 + 8x = 3x + (-6 * -5 + x * -5) 3 + 8x = 3x + (30 + -5x) Reorder the terms: 3 + 8x = 30 + 3x + -5x Combine like terms: 3x + -5x = -2x 3 + 8x = 30 + -2x Solving 3 + 8x = 30 + -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. 3 + 8x + 2x = 30 + -2x + 2x Combine like terms: 8x + 2x = 10x 3 + 10x = 30 + -2x + 2x Combine like terms: -2x + 2x = 0 3 + 10x = 30 + 0 3 + 10x = 30 Add '-3' to each side of the equation. 3 + -3 + 10x = 30 + -3 Combine like terms: 3 + -3 = 0 0 + 10x = 30 + -3 10x = 30 + -3 Combine like terms: 30 + -3 = 27 10x = 27 Divide each side by '10'. x = 2.7 Simplifying x = 2.7
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