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Simplifying 2(-2x + 6) + 4(5 + -7x) = 5(-3x + -4) Reorder the terms: 2(6 + -2x) + 4(5 + -7x) = 5(-3x + -4) (6 * 2 + -2x * 2) + 4(5 + -7x) = 5(-3x + -4) (12 + -4x) + 4(5 + -7x) = 5(-3x + -4) 12 + -4x + (5 * 4 + -7x * 4) = 5(-3x + -4) 12 + -4x + (20 + -28x) = 5(-3x + -4) Reorder the terms: 12 + 20 + -4x + -28x = 5(-3x + -4) Combine like terms: 12 + 20 = 32 32 + -4x + -28x = 5(-3x + -4) Combine like terms: -4x + -28x = -32x 32 + -32x = 5(-3x + -4) Reorder the terms: 32 + -32x = 5(-4 + -3x) 32 + -32x = (-4 * 5 + -3x * 5) 32 + -32x = (-20 + -15x) Solving 32 + -32x = -20 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 32 + -32x + 15x = -20 + -15x + 15x Combine like terms: -32x + 15x = -17x 32 + -17x = -20 + -15x + 15x Combine like terms: -15x + 15x = 0 32 + -17x = -20 + 0 32 + -17x = -20 Add '-32' to each side of the equation. 32 + -32 + -17x = -20 + -32 Combine like terms: 32 + -32 = 0 0 + -17x = -20 + -32 -17x = -20 + -32 Combine like terms: -20 + -32 = -52 -17x = -52 Divide each side by '-17'. x = 3.058823529 Simplifying x = 3.058823529
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