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Simplifying 7 + 4(2x + -1) = x + -5(x + -6) Reorder the terms: 7 + 4(-1 + 2x) = x + -5(x + -6) 7 + (-1 * 4 + 2x * 4) = x + -5(x + -6) 7 + (-4 + 8x) = x + -5(x + -6) Combine like terms: 7 + -4 = 3 3 + 8x = x + -5(x + -6) Reorder the terms: 3 + 8x = x + -5(-6 + x) 3 + 8x = x + (-6 * -5 + x * -5) 3 + 8x = x + (30 + -5x) Reorder the terms: 3 + 8x = 30 + x + -5x Combine like terms: x + -5x = -4x 3 + 8x = 30 + -4x Solving 3 + 8x = 30 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 3 + 8x + 4x = 30 + -4x + 4x Combine like terms: 8x + 4x = 12x 3 + 12x = 30 + -4x + 4x Combine like terms: -4x + 4x = 0 3 + 12x = 30 + 0 3 + 12x = 30 Add '-3' to each side of the equation. 3 + -3 + 12x = 30 + -3 Combine like terms: 3 + -3 = 0 0 + 12x = 30 + -3 12x = 30 + -3 Combine like terms: 30 + -3 = 27 12x = 27 Divide each side by '12'. x = 2.25 Simplifying x = 2.25
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