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Simplifying 5(x + 10) + 4 = -8(x + -1) + -10 Reorder the terms: 5(10 + x) + 4 = -8(x + -1) + -10 (10 * 5 + x * 5) + 4 = -8(x + -1) + -10 (50 + 5x) + 4 = -8(x + -1) + -10 Reorder the terms: 50 + 4 + 5x = -8(x + -1) + -10 Combine like terms: 50 + 4 = 54 54 + 5x = -8(x + -1) + -10 Reorder the terms: 54 + 5x = -8(-1 + x) + -10 54 + 5x = (-1 * -8 + x * -8) + -10 54 + 5x = (8 + -8x) + -10 Reorder the terms: 54 + 5x = 8 + -10 + -8x Combine like terms: 8 + -10 = -2 54 + 5x = -2 + -8x Solving 54 + 5x = -2 + -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. 54 + 5x + 8x = -2 + -8x + 8x Combine like terms: 5x + 8x = 13x 54 + 13x = -2 + -8x + 8x Combine like terms: -8x + 8x = 0 54 + 13x = -2 + 0 54 + 13x = -2 Add '-54' to each side of the equation. 54 + -54 + 13x = -2 + -54 Combine like terms: 54 + -54 = 0 0 + 13x = -2 + -54 13x = -2 + -54 Combine like terms: -2 + -54 = -56 13x = -56 Divide each side by '13'. x = -4.307692308 Simplifying x = -4.307692308
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