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Simplifying 4(x + 1) + 3 = -5(x + -5) + -3 Reorder the terms: 4(1 + x) + 3 = -5(x + -5) + -3 (1 * 4 + x * 4) + 3 = -5(x + -5) + -3 (4 + 4x) + 3 = -5(x + -5) + -3 Reorder the terms: 4 + 3 + 4x = -5(x + -5) + -3 Combine like terms: 4 + 3 = 7 7 + 4x = -5(x + -5) + -3 Reorder the terms: 7 + 4x = -5(-5 + x) + -3 7 + 4x = (-5 * -5 + x * -5) + -3 7 + 4x = (25 + -5x) + -3 Reorder the terms: 7 + 4x = 25 + -3 + -5x Combine like terms: 25 + -3 = 22 7 + 4x = 22 + -5x Solving 7 + 4x = 22 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 7 + 4x + 5x = 22 + -5x + 5x Combine like terms: 4x + 5x = 9x 7 + 9x = 22 + -5x + 5x Combine like terms: -5x + 5x = 0 7 + 9x = 22 + 0 7 + 9x = 22 Add '-7' to each side of the equation. 7 + -7 + 9x = 22 + -7 Combine like terms: 7 + -7 = 0 0 + 9x = 22 + -7 9x = 22 + -7 Combine like terms: 22 + -7 = 15 9x = 15 Divide each side by '9'. x = 1.666666667 Simplifying x = 1.666666667
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