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Simplifying 118 + -1(7x + 7) = 7(x + 3) + x Reorder the terms: 118 + -1(7 + 7x) = 7(x + 3) + x 118 + (7 * -1 + 7x * -1) = 7(x + 3) + x 118 + (-7 + -7x) = 7(x + 3) + x Combine like terms: 118 + -7 = 111 111 + -7x = 7(x + 3) + x Reorder the terms: 111 + -7x = 7(3 + x) + x 111 + -7x = (3 * 7 + x * 7) + x 111 + -7x = (21 + 7x) + x Combine like terms: 7x + x = 8x 111 + -7x = 21 + 8x Solving 111 + -7x = 21 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 111 + -7x + -8x = 21 + 8x + -8x Combine like terms: -7x + -8x = -15x 111 + -15x = 21 + 8x + -8x Combine like terms: 8x + -8x = 0 111 + -15x = 21 + 0 111 + -15x = 21 Add '-111' to each side of the equation. 111 + -111 + -15x = 21 + -111 Combine like terms: 111 + -111 = 0 0 + -15x = 21 + -111 -15x = 21 + -111 Combine like terms: 21 + -111 = -90 -15x = -90 Divide each side by '-15'. x = 6 Simplifying x = 6
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