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Simplifying 5x + -2(10x + -3) = 4(7 + -5x) + -35x + 2 Reorder the terms: 5x + -2(-3 + 10x) = 4(7 + -5x) + -35x + 2 5x + (-3 * -2 + 10x * -2) = 4(7 + -5x) + -35x + 2 5x + (6 + -20x) = 4(7 + -5x) + -35x + 2 Reorder the terms: 6 + 5x + -20x = 4(7 + -5x) + -35x + 2 Combine like terms: 5x + -20x = -15x 6 + -15x = 4(7 + -5x) + -35x + 2 6 + -15x = (7 * 4 + -5x * 4) + -35x + 2 6 + -15x = (28 + -20x) + -35x + 2 Reorder the terms: 6 + -15x = 28 + 2 + -20x + -35x Combine like terms: 28 + 2 = 30 6 + -15x = 30 + -20x + -35x Combine like terms: -20x + -35x = -55x 6 + -15x = 30 + -55x Solving 6 + -15x = 30 + -55x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '55x' to each side of the equation. 6 + -15x + 55x = 30 + -55x + 55x Combine like terms: -15x + 55x = 40x 6 + 40x = 30 + -55x + 55x Combine like terms: -55x + 55x = 0 6 + 40x = 30 + 0 6 + 40x = 30 Add '-6' to each side of the equation. 6 + -6 + 40x = 30 + -6 Combine like terms: 6 + -6 = 0 0 + 40x = 30 + -6 40x = 30 + -6 Combine like terms: 30 + -6 = 24 40x = 24 Divide each side by '40'. x = 0.6 Simplifying x = 0.6
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