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Simplifying 3 + -3x + -2(1 + -1x) = 7(x + -4) + 29 3 + -3x + (1 * -2 + -1x * -2) = 7(x + -4) + 29 3 + -3x + (-2 + 2x) = 7(x + -4) + 29 Reorder the terms: 3 + -2 + -3x + 2x = 7(x + -4) + 29 Combine like terms: 3 + -2 = 1 1 + -3x + 2x = 7(x + -4) + 29 Combine like terms: -3x + 2x = -1x 1 + -1x = 7(x + -4) + 29 Reorder the terms: 1 + -1x = 7(-4 + x) + 29 1 + -1x = (-4 * 7 + x * 7) + 29 1 + -1x = (-28 + 7x) + 29 Reorder the terms: 1 + -1x = -28 + 29 + 7x Combine like terms: -28 + 29 = 1 1 + -1x = 1 + 7x Add '-1' to each side of the equation. 1 + -1 + -1x = 1 + -1 + 7x Combine like terms: 1 + -1 = 0 0 + -1x = 1 + -1 + 7x -1x = 1 + -1 + 7x Combine like terms: 1 + -1 = 0 -1x = 0 + 7x -1x = 7x Solving -1x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -1x + -7x = 7x + -7x Combine like terms: -1x + -7x = -8x -8x = 7x + -7x Combine like terms: 7x + -7x = 0 -8x = 0 Divide each side by '-8'. x = 0 Simplifying x = 0
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