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Simplifying 4x + -3(20 + -1x) = 6x + -7(10 + -1x) + -2(2x + -5) 4x + (20 * -3 + -1x * -3) = 6x + -7(10 + -1x) + -2(2x + -5) 4x + (-60 + 3x) = 6x + -7(10 + -1x) + -2(2x + -5) Reorder the terms: -60 + 4x + 3x = 6x + -7(10 + -1x) + -2(2x + -5) Combine like terms: 4x + 3x = 7x -60 + 7x = 6x + -7(10 + -1x) + -2(2x + -5) -60 + 7x = 6x + (10 * -7 + -1x * -7) + -2(2x + -5) -60 + 7x = 6x + (-70 + 7x) + -2(2x + -5) Reorder the terms: -60 + 7x = 6x + -70 + 7x + -2(-5 + 2x) -60 + 7x = 6x + -70 + 7x + (-5 * -2 + 2x * -2) -60 + 7x = 6x + -70 + 7x + (10 + -4x) Reorder the terms: -60 + 7x = -70 + 10 + 6x + 7x + -4x Combine like terms: -70 + 10 = -60 -60 + 7x = -60 + 6x + 7x + -4x Combine like terms: 6x + 7x = 13x -60 + 7x = -60 + 13x + -4x Combine like terms: 13x + -4x = 9x -60 + 7x = -60 + 9x Add '60' to each side of the equation. -60 + 60 + 7x = -60 + 60 + 9x Combine like terms: -60 + 60 = 0 0 + 7x = -60 + 60 + 9x 7x = -60 + 60 + 9x Combine like terms: -60 + 60 = 0 7x = 0 + 9x 7x = 9x Solving 7x = 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 7x + -9x = 9x + -9x Combine like terms: 7x + -9x = -2x -2x = 9x + -9x Combine like terms: 9x + -9x = 0 -2x = 0 Divide each side by '-2'. x = 0 Simplifying x = 0
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