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Simplifying 5(2x + 6) = -4(-5 + -2) + 3x Reorder the terms: 5(6 + 2x) = -4(-5 + -2) + 3x (6 * 5 + 2x * 5) = -4(-5 + -2) + 3x (30 + 10x) = -4(-5 + -2) + 3x Combine like terms: -5 + -2 = -7 30 + 10x = -4(-7) + 3x Multiply -4 * -7 30 + 10x = 28 + 3x Solving 30 + 10x = 28 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 30 + 10x + -3x = 28 + 3x + -3x Combine like terms: 10x + -3x = 7x 30 + 7x = 28 + 3x + -3x Combine like terms: 3x + -3x = 0 30 + 7x = 28 + 0 30 + 7x = 28 Add '-30' to each side of the equation. 30 + -30 + 7x = 28 + -30 Combine like terms: 30 + -30 = 0 0 + 7x = 28 + -30 7x = 28 + -30 Combine like terms: 28 + -30 = -2 7x = -2 Divide each side by '7'. x = -0.2857142857 Simplifying x = -0.2857142857
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