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Simplifying 4 + -5(x + -7) = 10(4 + -1x) Reorder the terms: 4 + -5(-7 + x) = 10(4 + -1x) 4 + (-7 * -5 + x * -5) = 10(4 + -1x) 4 + (35 + -5x) = 10(4 + -1x) Combine like terms: 4 + 35 = 39 39 + -5x = 10(4 + -1x) 39 + -5x = (4 * 10 + -1x * 10) 39 + -5x = (40 + -10x) Solving 39 + -5x = 40 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 39 + -5x + 10x = 40 + -10x + 10x Combine like terms: -5x + 10x = 5x 39 + 5x = 40 + -10x + 10x Combine like terms: -10x + 10x = 0 39 + 5x = 40 + 0 39 + 5x = 40 Add '-39' to each side of the equation. 39 + -39 + 5x = 40 + -39 Combine like terms: 39 + -39 = 0 0 + 5x = 40 + -39 5x = 40 + -39 Combine like terms: 40 + -39 = 1 5x = 1 Divide each side by '5'. x = 0.2 Simplifying x = 0.2
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