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Simplifying 5(x + 7) + 4 = -4(x + -1) + -10 Reorder the terms: 5(7 + x) + 4 = -4(x + -1) + -10 (7 * 5 + x * 5) + 4 = -4(x + -1) + -10 (35 + 5x) + 4 = -4(x + -1) + -10 Reorder the terms: 35 + 4 + 5x = -4(x + -1) + -10 Combine like terms: 35 + 4 = 39 39 + 5x = -4(x + -1) + -10 Reorder the terms: 39 + 5x = -4(-1 + x) + -10 39 + 5x = (-1 * -4 + x * -4) + -10 39 + 5x = (4 + -4x) + -10 Reorder the terms: 39 + 5x = 4 + -10 + -4x Combine like terms: 4 + -10 = -6 39 + 5x = -6 + -4x Solving 39 + 5x = -6 + -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. 39 + 5x + 4x = -6 + -4x + 4x Combine like terms: 5x + 4x = 9x 39 + 9x = -6 + -4x + 4x Combine like terms: -4x + 4x = 0 39 + 9x = -6 + 0 39 + 9x = -6 Add '-39' to each side of the equation. 39 + -39 + 9x = -6 + -39 Combine like terms: 39 + -39 = 0 0 + 9x = -6 + -39 9x = -6 + -39 Combine like terms: -6 + -39 = -45 9x = -45 Divide each side by '9'. x = -5 Simplifying x = -5
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