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Simplifying 5(5 + -5) + 4(7 + 3x) + 2x(4 + 3) + 10 = -14 Combine like terms: 5 + -5 = 0 5(0) + 4(7 + 3x) + 2x(4 + 3) + 10 = -14 Multiply 5 * 0 0 + 4(7 + 3x) + 2x(4 + 3) + 10 = -14 Anything times zero is zero. 0 + 4(7 + 3x) + 2x(4 + 3) + 10 = -14 0 + (7 * 4 + 3x * 4) + 2x(4 + 3) + 10 = -14 0 + (28 + 12x) + 2x(4 + 3) + 10 = -14 Combine like terms: 4 + 3 = 7 0 + 28 + 12x + 2x(7) + 10 = -14 Reorder the terms for easier multiplication: 0 + 28 + 12x + 2 * 7x + 10 = -14 Multiply 2 * 7 0 + 28 + 12x + 14x + 10 = -14 Reorder the terms: 0 + 28 + 10 + 12x + 14x = -14 Combine like terms: 0 + 28 = 28 28 + 10 + 12x + 14x = -14 Combine like terms: 28 + 10 = 38 38 + 12x + 14x = -14 Combine like terms: 12x + 14x = 26x 38 + 26x = -14 Solving 38 + 26x = -14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + 26x = -14 + -38 Combine like terms: 38 + -38 = 0 0 + 26x = -14 + -38 26x = -14 + -38 Combine like terms: -14 + -38 = -52 26x = -52 Divide each side by '26'. x = -2 Simplifying x = -2
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