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Simplifying 5x + 8 + -7(x + -1) = 7x + 3 Reorder the terms: 5x + 8 + -7(-1 + x) = 7x + 3 5x + 8 + (-1 * -7 + x * -7) = 7x + 3 5x + 8 + (7 + -7x) = 7x + 3 Reorder the terms: 8 + 7 + 5x + -7x = 7x + 3 Combine like terms: 8 + 7 = 15 15 + 5x + -7x = 7x + 3 Combine like terms: 5x + -7x = -2x 15 + -2x = 7x + 3 Reorder the terms: 15 + -2x = 3 + 7x Solving 15 + -2x = 3 + 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. 15 + -2x + -7x = 3 + 7x + -7x Combine like terms: -2x + -7x = -9x 15 + -9x = 3 + 7x + -7x Combine like terms: 7x + -7x = 0 15 + -9x = 3 + 0 15 + -9x = 3 Add '-15' to each side of the equation. 15 + -15 + -9x = 3 + -15 Combine like terms: 15 + -15 = 0 0 + -9x = 3 + -15 -9x = 3 + -15 Combine like terms: 3 + -15 = -12 -9x = -12 Divide each side by '-9'. x = 1.333333333 Simplifying x = 1.333333333
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