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Simplifying 5(x + 3) + -2x = -4(x + 1) Reorder the terms: 5(3 + x) + -2x = -4(x + 1) (3 * 5 + x * 5) + -2x = -4(x + 1) (15 + 5x) + -2x = -4(x + 1) Combine like terms: 5x + -2x = 3x 15 + 3x = -4(x + 1) Reorder the terms: 15 + 3x = -4(1 + x) 15 + 3x = (1 * -4 + x * -4) 15 + 3x = (-4 + -4x) Solving 15 + 3x = -4 + -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. 15 + 3x + 4x = -4 + -4x + 4x Combine like terms: 3x + 4x = 7x 15 + 7x = -4 + -4x + 4x Combine like terms: -4x + 4x = 0 15 + 7x = -4 + 0 15 + 7x = -4 Add '-15' to each side of the equation. 15 + -15 + 7x = -4 + -15 Combine like terms: 15 + -15 = 0 0 + 7x = -4 + -15 7x = -4 + -15 Combine like terms: -4 + -15 = -19 7x = -19 Divide each side by '7'. x = -2.714285714 Simplifying x = -2.714285714
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