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Simplifying 7(x + 8) + 2(6x + -7) = 18(x + 3) + -5 Reorder the terms: 7(8 + x) + 2(6x + -7) = 18(x + 3) + -5 (8 * 7 + x * 7) + 2(6x + -7) = 18(x + 3) + -5 (56 + 7x) + 2(6x + -7) = 18(x + 3) + -5 Reorder the terms: 56 + 7x + 2(-7 + 6x) = 18(x + 3) + -5 56 + 7x + (-7 * 2 + 6x * 2) = 18(x + 3) + -5 56 + 7x + (-14 + 12x) = 18(x + 3) + -5 Reorder the terms: 56 + -14 + 7x + 12x = 18(x + 3) + -5 Combine like terms: 56 + -14 = 42 42 + 7x + 12x = 18(x + 3) + -5 Combine like terms: 7x + 12x = 19x 42 + 19x = 18(x + 3) + -5 Reorder the terms: 42 + 19x = 18(3 + x) + -5 42 + 19x = (3 * 18 + x * 18) + -5 42 + 19x = (54 + 18x) + -5 Reorder the terms: 42 + 19x = 54 + -5 + 18x Combine like terms: 54 + -5 = 49 42 + 19x = 49 + 18x Solving 42 + 19x = 49 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 42 + 19x + -18x = 49 + 18x + -18x Combine like terms: 19x + -18x = 1x 42 + 1x = 49 + 18x + -18x Combine like terms: 18x + -18x = 0 42 + 1x = 49 + 0 42 + 1x = 49 Add '-42' to each side of the equation. 42 + -42 + 1x = 49 + -42 Combine like terms: 42 + -42 = 0 0 + 1x = 49 + -42 1x = 49 + -42 Combine like terms: 49 + -42 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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