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Simplifying 4(x + -8) + -18 = x + -29 Reorder the terms: 4(-8 + x) + -18 = x + -29 (-8 * 4 + x * 4) + -18 = x + -29 (-32 + 4x) + -18 = x + -29 Reorder the terms: -32 + -18 + 4x = x + -29 Combine like terms: -32 + -18 = -50 -50 + 4x = x + -29 Reorder the terms: -50 + 4x = -29 + x Solving -50 + 4x = -29 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -50 + 4x + -1x = -29 + x + -1x Combine like terms: 4x + -1x = 3x -50 + 3x = -29 + x + -1x Combine like terms: x + -1x = 0 -50 + 3x = -29 + 0 -50 + 3x = -29 Add '50' to each side of the equation. -50 + 50 + 3x = -29 + 50 Combine like terms: -50 + 50 = 0 0 + 3x = -29 + 50 3x = -29 + 50 Combine like terms: -29 + 50 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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