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Simplifying 5(x + -3) + -8 = 7(x + 1) Reorder the terms: 5(-3 + x) + -8 = 7(x + 1) (-3 * 5 + x * 5) + -8 = 7(x + 1) (-15 + 5x) + -8 = 7(x + 1) Reorder the terms: -15 + -8 + 5x = 7(x + 1) Combine like terms: -15 + -8 = -23 -23 + 5x = 7(x + 1) Reorder the terms: -23 + 5x = 7(1 + x) -23 + 5x = (1 * 7 + x * 7) -23 + 5x = (7 + 7x) Solving -23 + 5x = 7 + 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. -23 + 5x + -7x = 7 + 7x + -7x Combine like terms: 5x + -7x = -2x -23 + -2x = 7 + 7x + -7x Combine like terms: 7x + -7x = 0 -23 + -2x = 7 + 0 -23 + -2x = 7 Add '23' to each side of the equation. -23 + 23 + -2x = 7 + 23 Combine like terms: -23 + 23 = 0 0 + -2x = 7 + 23 -2x = 7 + 23 Combine like terms: 7 + 23 = 30 -2x = 30 Divide each side by '-2'. x = -15 Simplifying x = -15
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