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Simplifying 5(x + 4) + -10 = 5 + 4(x + -1) Reorder the terms: 5(4 + x) + -10 = 5 + 4(x + -1) (4 * 5 + x * 5) + -10 = 5 + 4(x + -1) (20 + 5x) + -10 = 5 + 4(x + -1) Reorder the terms: 20 + -10 + 5x = 5 + 4(x + -1) Combine like terms: 20 + -10 = 10 10 + 5x = 5 + 4(x + -1) Reorder the terms: 10 + 5x = 5 + 4(-1 + x) 10 + 5x = 5 + (-1 * 4 + x * 4) 10 + 5x = 5 + (-4 + 4x) Combine like terms: 5 + -4 = 1 10 + 5x = 1 + 4x Solving 10 + 5x = 1 + 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. 10 + 5x + -4x = 1 + 4x + -4x Combine like terms: 5x + -4x = 1x 10 + 1x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 10 + 1x = 1 + 0 10 + 1x = 1 Add '-10' to each side of the equation. 10 + -10 + 1x = 1 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 1 + -10 1x = 1 + -10 Combine like terms: 1 + -10 = -9 1x = -9 Divide each side by '1'. x = -9 Simplifying x = -9
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