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Simplifying 7(x + 8) + 3x = 122 + 2(x + -1) Reorder the terms: 7(8 + x) + 3x = 122 + 2(x + -1) (8 * 7 + x * 7) + 3x = 122 + 2(x + -1) (56 + 7x) + 3x = 122 + 2(x + -1) Combine like terms: 7x + 3x = 10x 56 + 10x = 122 + 2(x + -1) Reorder the terms: 56 + 10x = 122 + 2(-1 + x) 56 + 10x = 122 + (-1 * 2 + x * 2) 56 + 10x = 122 + (-2 + 2x) Combine like terms: 122 + -2 = 120 56 + 10x = 120 + 2x Solving 56 + 10x = 120 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 56 + 10x + -2x = 120 + 2x + -2x Combine like terms: 10x + -2x = 8x 56 + 8x = 120 + 2x + -2x Combine like terms: 2x + -2x = 0 56 + 8x = 120 + 0 56 + 8x = 120 Add '-56' to each side of the equation. 56 + -56 + 8x = 120 + -56 Combine like terms: 56 + -56 = 0 0 + 8x = 120 + -56 8x = 120 + -56 Combine like terms: 120 + -56 = 64 8x = 64 Divide each side by '8'. x = 8 Simplifying x = 8
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