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