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Simplifying 5(x + 3) + 4(x + -2) = -4 Reorder the terms: 5(3 + x) + 4(x + -2) = -4 (3 * 5 + x * 5) + 4(x + -2) = -4 (15 + 5x) + 4(x + -2) = -4 Reorder the terms: 15 + 5x + 4(-2 + x) = -4 15 + 5x + (-2 * 4 + x * 4) = -4 15 + 5x + (-8 + 4x) = -4 Reorder the terms: 15 + -8 + 5x + 4x = -4 Combine like terms: 15 + -8 = 7 7 + 5x + 4x = -4 Combine like terms: 5x + 4x = 9x 7 + 9x = -4 Solving 7 + 9x = -4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 9x = -4 + -7 Combine like terms: 7 + -7 = 0 0 + 9x = -4 + -7 9x = -4 + -7 Combine like terms: -4 + -7 = -11 9x = -11 Divide each side by '9'. x = -1.222222222 Simplifying x = -1.222222222
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