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Simplifying 4(x + -7) + 29 = 3(x + 1) Reorder the terms: 4(-7 + x) + 29 = 3(x + 1) (-7 * 4 + x * 4) + 29 = 3(x + 1) (-28 + 4x) + 29 = 3(x + 1) Reorder the terms: -28 + 29 + 4x = 3(x + 1) Combine like terms: -28 + 29 = 1 1 + 4x = 3(x + 1) Reorder the terms: 1 + 4x = 3(1 + x) 1 + 4x = (1 * 3 + x * 3) 1 + 4x = (3 + 3x) Solving 1 + 4x = 3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 1 + 4x + -3x = 3 + 3x + -3x Combine like terms: 4x + -3x = 1x 1 + 1x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 1 + 1x = 3 + 0 1 + 1x = 3 Add '-1' to each side of the equation. 1 + -1 + 1x = 3 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 3 + -1 1x = 3 + -1 Combine like terms: 3 + -1 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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