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Simplifying 4x + 5 = 8 + -1(4x + -7) Reorder the terms: 5 + 4x = 8 + -1(4x + -7) Reorder the terms: 5 + 4x = 8 + -1(-7 + 4x) 5 + 4x = 8 + (-7 * -1 + 4x * -1) 5 + 4x = 8 + (7 + -4x) Combine like terms: 8 + 7 = 15 5 + 4x = 15 + -4x Solving 5 + 4x = 15 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 5 + 4x + 4x = 15 + -4x + 4x Combine like terms: 4x + 4x = 8x 5 + 8x = 15 + -4x + 4x Combine like terms: -4x + 4x = 0 5 + 8x = 15 + 0 5 + 8x = 15 Add '-5' to each side of the equation. 5 + -5 + 8x = 15 + -5 Combine like terms: 5 + -5 = 0 0 + 8x = 15 + -5 8x = 15 + -5 Combine like terms: 15 + -5 = 10 8x = 10 Divide each side by '8'. x = 1.25 Simplifying x = 1.25
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