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