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Simplifying 2(2x + 5) = 5(3x + 1) + -5(x + 7) Reorder the terms: 2(5 + 2x) = 5(3x + 1) + -5(x + 7) (5 * 2 + 2x * 2) = 5(3x + 1) + -5(x + 7) (10 + 4x) = 5(3x + 1) + -5(x + 7) Reorder the terms: 10 + 4x = 5(1 + 3x) + -5(x + 7) 10 + 4x = (1 * 5 + 3x * 5) + -5(x + 7) 10 + 4x = (5 + 15x) + -5(x + 7) Reorder the terms: 10 + 4x = 5 + 15x + -5(7 + x) 10 + 4x = 5 + 15x + (7 * -5 + x * -5) 10 + 4x = 5 + 15x + (-35 + -5x) Reorder the terms: 10 + 4x = 5 + -35 + 15x + -5x Combine like terms: 5 + -35 = -30 10 + 4x = -30 + 15x + -5x Combine like terms: 15x + -5x = 10x 10 + 4x = -30 + 10x Solving 10 + 4x = -30 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 10 + 4x + -10x = -30 + 10x + -10x Combine like terms: 4x + -10x = -6x 10 + -6x = -30 + 10x + -10x Combine like terms: 10x + -10x = 0 10 + -6x = -30 + 0 10 + -6x = -30 Add '-10' to each side of the equation. 10 + -10 + -6x = -30 + -10 Combine like terms: 10 + -10 = 0 0 + -6x = -30 + -10 -6x = -30 + -10 Combine like terms: -30 + -10 = -40 -6x = -40 Divide each side by '-6'. x = 6.666666667 Simplifying x = 6.666666667
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