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Simplifying 3(x + 5) + -2(x + 1) = 4 Reorder the terms: 3(5 + x) + -2(x + 1) = 4 (5 * 3 + x * 3) + -2(x + 1) = 4 (15 + 3x) + -2(x + 1) = 4 Reorder the terms: 15 + 3x + -2(1 + x) = 4 15 + 3x + (1 * -2 + x * -2) = 4 15 + 3x + (-2 + -2x) = 4 Reorder the terms: 15 + -2 + 3x + -2x = 4 Combine like terms: 15 + -2 = 13 13 + 3x + -2x = 4 Combine like terms: 3x + -2x = 1x 13 + 1x = 4 Solving 13 + 1x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 1x = 4 + -13 Combine like terms: 13 + -13 = 0 0 + 1x = 4 + -13 1x = 4 + -13 Combine like terms: 4 + -13 = -9 1x = -9 Divide each side by '1'. x = -9 Simplifying x = -9
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