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