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Simplifying 4x + -4 + 3x + -3 + 2x + -2 + x + -1 = 35 + -12x + 3(x + -5) Reorder the terms: -4 + -3 + -2 + -1 + 4x + 3x + 2x + x = 35 + -12x + 3(x + -5) Combine like terms: -4 + -3 = -7 -7 + -2 + -1 + 4x + 3x + 2x + x = 35 + -12x + 3(x + -5) Combine like terms: -7 + -2 = -9 -9 + -1 + 4x + 3x + 2x + x = 35 + -12x + 3(x + -5) Combine like terms: -9 + -1 = -10 -10 + 4x + 3x + 2x + x = 35 + -12x + 3(x + -5) Combine like terms: 4x + 3x = 7x -10 + 7x + 2x + x = 35 + -12x + 3(x + -5) Combine like terms: 7x + 2x = 9x -10 + 9x + x = 35 + -12x + 3(x + -5) Combine like terms: 9x + x = 10x -10 + 10x = 35 + -12x + 3(x + -5) Reorder the terms: -10 + 10x = 35 + -12x + 3(-5 + x) -10 + 10x = 35 + -12x + (-5 * 3 + x * 3) -10 + 10x = 35 + -12x + (-15 + 3x) Reorder the terms: -10 + 10x = 35 + -15 + -12x + 3x Combine like terms: 35 + -15 = 20 -10 + 10x = 20 + -12x + 3x Combine like terms: -12x + 3x = -9x -10 + 10x = 20 + -9x Solving -10 + 10x = 20 + -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. -10 + 10x + 9x = 20 + -9x + 9x Combine like terms: 10x + 9x = 19x -10 + 19x = 20 + -9x + 9x Combine like terms: -9x + 9x = 0 -10 + 19x = 20 + 0 -10 + 19x = 20 Add '10' to each side of the equation. -10 + 10 + 19x = 20 + 10 Combine like terms: -10 + 10 = 0 0 + 19x = 20 + 10 19x = 20 + 10 Combine like terms: 20 + 10 = 30 19x = 30 Divide each side by '19'. x = 1.578947368 Simplifying x = 1.578947368
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