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Simplifying 5(x + 3) + 4x + -3 = -2(2x + -4) + 2 Reorder the terms: 5(3 + x) + 4x + -3 = -2(2x + -4) + 2 (3 * 5 + x * 5) + 4x + -3 = -2(2x + -4) + 2 (15 + 5x) + 4x + -3 = -2(2x + -4) + 2 Reorder the terms: 15 + -3 + 5x + 4x = -2(2x + -4) + 2 Combine like terms: 15 + -3 = 12 12 + 5x + 4x = -2(2x + -4) + 2 Combine like terms: 5x + 4x = 9x 12 + 9x = -2(2x + -4) + 2 Reorder the terms: 12 + 9x = -2(-4 + 2x) + 2 12 + 9x = (-4 * -2 + 2x * -2) + 2 12 + 9x = (8 + -4x) + 2 Reorder the terms: 12 + 9x = 8 + 2 + -4x Combine like terms: 8 + 2 = 10 12 + 9x = 10 + -4x Solving 12 + 9x = 10 + -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. 12 + 9x + 4x = 10 + -4x + 4x Combine like terms: 9x + 4x = 13x 12 + 13x = 10 + -4x + 4x Combine like terms: -4x + 4x = 0 12 + 13x = 10 + 0 12 + 13x = 10 Add '-12' to each side of the equation. 12 + -12 + 13x = 10 + -12 Combine like terms: 12 + -12 = 0 0 + 13x = 10 + -12 13x = 10 + -12 Combine like terms: 10 + -12 = -2 13x = -2 Divide each side by '13'. x = -0.1538461538 Simplifying x = -0.1538461538
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