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Simplifying 5(x + 4) + -2(7 + -2x) = 2x + 3 Reorder the terms: 5(4 + x) + -2(7 + -2x) = 2x + 3 (4 * 5 + x * 5) + -2(7 + -2x) = 2x + 3 (20 + 5x) + -2(7 + -2x) = 2x + 3 20 + 5x + (7 * -2 + -2x * -2) = 2x + 3 20 + 5x + (-14 + 4x) = 2x + 3 Reorder the terms: 20 + -14 + 5x + 4x = 2x + 3 Combine like terms: 20 + -14 = 6 6 + 5x + 4x = 2x + 3 Combine like terms: 5x + 4x = 9x 6 + 9x = 2x + 3 Reorder the terms: 6 + 9x = 3 + 2x Solving 6 + 9x = 3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 6 + 9x + -2x = 3 + 2x + -2x Combine like terms: 9x + -2x = 7x 6 + 7x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + 7x = 3 + 0 6 + 7x = 3 Add '-6' to each side of the equation. 6 + -6 + 7x = 3 + -6 Combine like terms: 6 + -6 = 0 0 + 7x = 3 + -6 7x = 3 + -6 Combine like terms: 3 + -6 = -3 7x = -3 Divide each side by '7'. x = -0.4285714286 Simplifying x = -0.4285714286
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