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Simplifying 45 + 2x = 7(-1x + 8) + -74 Reorder the terms: 45 + 2x = 7(8 + -1x) + -74 45 + 2x = (8 * 7 + -1x * 7) + -74 45 + 2x = (56 + -7x) + -74 Reorder the terms: 45 + 2x = 56 + -74 + -7x Combine like terms: 56 + -74 = -18 45 + 2x = -18 + -7x Solving 45 + 2x = -18 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 45 + 2x + 7x = -18 + -7x + 7x Combine like terms: 2x + 7x = 9x 45 + 9x = -18 + -7x + 7x Combine like terms: -7x + 7x = 0 45 + 9x = -18 + 0 45 + 9x = -18 Add '-45' to each side of the equation. 45 + -45 + 9x = -18 + -45 Combine like terms: 45 + -45 = 0 0 + 9x = -18 + -45 9x = -18 + -45 Combine like terms: -18 + -45 = -63 9x = -63 Divide each side by '9'. x = -7 Simplifying x = -7
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