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Simplifying 2x + -7 + x = 4(x + 1) + -5 Reorder the terms: -7 + 2x + x = 4(x + 1) + -5 Combine like terms: 2x + x = 3x -7 + 3x = 4(x + 1) + -5 Reorder the terms: -7 + 3x = 4(1 + x) + -5 -7 + 3x = (1 * 4 + x * 4) + -5 -7 + 3x = (4 + 4x) + -5 Reorder the terms: -7 + 3x = 4 + -5 + 4x Combine like terms: 4 + -5 = -1 -7 + 3x = -1 + 4x Solving -7 + 3x = -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 + 3x + -4x = -1 + 4x + -4x Combine like terms: 3x + -4x = -1x -7 + -1x = -1 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + -1x = -1 + 0 -7 + -1x = -1 Add '7' to each side of the equation. -7 + 7 + -1x = -1 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = -1 + 7 -1x = -1 + 7 Combine like terms: -1 + 7 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6
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