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Simplifying 7 + 3(5x + -5) = 5 + -4(2x + 1) Reorder the terms: 7 + 3(-5 + 5x) = 5 + -4(2x + 1) 7 + (-5 * 3 + 5x * 3) = 5 + -4(2x + 1) 7 + (-15 + 15x) = 5 + -4(2x + 1) Combine like terms: 7 + -15 = -8 -8 + 15x = 5 + -4(2x + 1) Reorder the terms: -8 + 15x = 5 + -4(1 + 2x) -8 + 15x = 5 + (1 * -4 + 2x * -4) -8 + 15x = 5 + (-4 + -8x) Combine like terms: 5 + -4 = 1 -8 + 15x = 1 + -8x Solving -8 + 15x = 1 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -8 + 15x + 8x = 1 + -8x + 8x Combine like terms: 15x + 8x = 23x -8 + 23x = 1 + -8x + 8x Combine like terms: -8x + 8x = 0 -8 + 23x = 1 + 0 -8 + 23x = 1 Add '8' to each side of the equation. -8 + 8 + 23x = 1 + 8 Combine like terms: -8 + 8 = 0 0 + 23x = 1 + 8 23x = 1 + 8 Combine like terms: 1 + 8 = 9 23x = 9 Divide each side by '23'. x = 0.3913043478 Simplifying x = 0.3913043478
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