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Simplifying 8 + 4(x + -1) = 11 + -2(x + -4) Reorder the terms: 8 + 4(-1 + x) = 11 + -2(x + -4) 8 + (-1 * 4 + x * 4) = 11 + -2(x + -4) 8 + (-4 + 4x) = 11 + -2(x + -4) Combine like terms: 8 + -4 = 4 4 + 4x = 11 + -2(x + -4) Reorder the terms: 4 + 4x = 11 + -2(-4 + x) 4 + 4x = 11 + (-4 * -2 + x * -2) 4 + 4x = 11 + (8 + -2x) Combine like terms: 11 + 8 = 19 4 + 4x = 19 + -2x Solving 4 + 4x = 19 + -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. 4 + 4x + 2x = 19 + -2x + 2x Combine like terms: 4x + 2x = 6x 4 + 6x = 19 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + 6x = 19 + 0 4 + 6x = 19 Add '-4' to each side of the equation. 4 + -4 + 6x = 19 + -4 Combine like terms: 4 + -4 = 0 0 + 6x = 19 + -4 6x = 19 + -4 Combine like terms: 19 + -4 = 15 6x = 15 Divide each side by '6'. x = 2.5 Simplifying x = 2.5
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