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Simplifying 5x + 3(x + 4) + -7 + -1(2x + 3) = 0 Reorder the terms: 5x + 3(4 + x) + -7 + -1(2x + 3) = 0 5x + (4 * 3 + x * 3) + -7 + -1(2x + 3) = 0 5x + (12 + 3x) + -7 + -1(2x + 3) = 0 Reorder the terms: 5x + 12 + 3x + -7 + -1(3 + 2x) = 0 5x + 12 + 3x + -7 + (3 * -1 + 2x * -1) = 0 5x + 12 + 3x + -7 + (-3 + -2x) = 0 Reorder the terms: 12 + -7 + -3 + 5x + 3x + -2x = 0 Combine like terms: 12 + -7 = 5 5 + -3 + 5x + 3x + -2x = 0 Combine like terms: 5 + -3 = 2 2 + 5x + 3x + -2x = 0 Combine like terms: 5x + 3x = 8x 2 + 8x + -2x = 0 Combine like terms: 8x + -2x = 6x 2 + 6x = 0 Solving 2 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 6x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 6x = 0 + -2 6x = 0 + -2 Combine like terms: 0 + -2 = -2 6x = -2 Divide each side by '6'. x = -0.3333333333 Simplifying x = -0.3333333333
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