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Simplifying 7(x + 9) + -2 = 24 + -3(6 + -2x) + 51 Reorder the terms: 7(9 + x) + -2 = 24 + -3(6 + -2x) + 51 (9 * 7 + x * 7) + -2 = 24 + -3(6 + -2x) + 51 (63 + 7x) + -2 = 24 + -3(6 + -2x) + 51 Reorder the terms: 63 + -2 + 7x = 24 + -3(6 + -2x) + 51 Combine like terms: 63 + -2 = 61 61 + 7x = 24 + -3(6 + -2x) + 51 61 + 7x = 24 + (6 * -3 + -2x * -3) + 51 61 + 7x = 24 + (-18 + 6x) + 51 Reorder the terms: 61 + 7x = 24 + -18 + 51 + 6x Combine like terms: 24 + -18 = 6 61 + 7x = 6 + 51 + 6x Combine like terms: 6 + 51 = 57 61 + 7x = 57 + 6x Solving 61 + 7x = 57 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 61 + 7x + -6x = 57 + 6x + -6x Combine like terms: 7x + -6x = 1x 61 + 1x = 57 + 6x + -6x Combine like terms: 6x + -6x = 0 61 + 1x = 57 + 0 61 + 1x = 57 Add '-61' to each side of the equation. 61 + -61 + 1x = 57 + -61 Combine like terms: 61 + -61 = 0 0 + 1x = 57 + -61 1x = 57 + -61 Combine like terms: 57 + -61 = -4 1x = -4 Divide each side by '1'. x = -4 Simplifying x = -4
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