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Simplifying 2x + 8 + -3x = 4(x + 1) + 29 Reorder the terms: 8 + 2x + -3x = 4(x + 1) + 29 Combine like terms: 2x + -3x = -1x 8 + -1x = 4(x + 1) + 29 Reorder the terms: 8 + -1x = 4(1 + x) + 29 8 + -1x = (1 * 4 + x * 4) + 29 8 + -1x = (4 + 4x) + 29 Reorder the terms: 8 + -1x = 4 + 29 + 4x Combine like terms: 4 + 29 = 33 8 + -1x = 33 + 4x Solving 8 + -1x = 33 + 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. 8 + -1x + -4x = 33 + 4x + -4x Combine like terms: -1x + -4x = -5x 8 + -5x = 33 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + -5x = 33 + 0 8 + -5x = 33 Add '-8' to each side of the equation. 8 + -8 + -5x = 33 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = 33 + -8 -5x = 33 + -8 Combine like terms: 33 + -8 = 25 -5x = 25 Divide each side by '-5'. x = -5 Simplifying x = -5
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