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Simplifying 2(x + -4) + x = 7 + -1(x + 1) Reorder the terms: 2(-4 + x) + x = 7 + -1(x + 1) (-4 * 2 + x * 2) + x = 7 + -1(x + 1) (-8 + 2x) + x = 7 + -1(x + 1) Combine like terms: 2x + x = 3x -8 + 3x = 7 + -1(x + 1) Reorder the terms: -8 + 3x = 7 + -1(1 + x) -8 + 3x = 7 + (1 * -1 + x * -1) -8 + 3x = 7 + (-1 + -1x) Combine like terms: 7 + -1 = 6 -8 + 3x = 6 + -1x Solving -8 + 3x = 6 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -8 + 3x + x = 6 + -1x + x Combine like terms: 3x + x = 4x -8 + 4x = 6 + -1x + x Combine like terms: -1x + x = 0 -8 + 4x = 6 + 0 -8 + 4x = 6 Add '8' to each side of the equation. -8 + 8 + 4x = 6 + 8 Combine like terms: -8 + 8 = 0 0 + 4x = 6 + 8 4x = 6 + 8 Combine like terms: 6 + 8 = 14 4x = 14 Divide each side by '4'. x = 3.5 Simplifying x = 3.5
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