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Simplifying 4(8x + 29) + -21x = 2(6x + 28) Reorder the terms: 4(29 + 8x) + -21x = 2(6x + 28) (29 * 4 + 8x * 4) + -21x = 2(6x + 28) (116 + 32x) + -21x = 2(6x + 28) Combine like terms: 32x + -21x = 11x 116 + 11x = 2(6x + 28) Reorder the terms: 116 + 11x = 2(28 + 6x) 116 + 11x = (28 * 2 + 6x * 2) 116 + 11x = (56 + 12x) Solving 116 + 11x = 56 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 116 + 11x + -12x = 56 + 12x + -12x Combine like terms: 11x + -12x = -1x 116 + -1x = 56 + 12x + -12x Combine like terms: 12x + -12x = 0 116 + -1x = 56 + 0 116 + -1x = 56 Add '-116' to each side of the equation. 116 + -116 + -1x = 56 + -116 Combine like terms: 116 + -116 = 0 0 + -1x = 56 + -116 -1x = 56 + -116 Combine like terms: 56 + -116 = -60 -1x = -60 Divide each side by '-1'. x = 60 Simplifying x = 60
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