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Simplifying 4x + -1 = 2(x + -5) + 4(3 + -3x) Reorder the terms: -1 + 4x = 2(x + -5) + 4(3 + -3x) Reorder the terms: -1 + 4x = 2(-5 + x) + 4(3 + -3x) -1 + 4x = (-5 * 2 + x * 2) + 4(3 + -3x) -1 + 4x = (-10 + 2x) + 4(3 + -3x) -1 + 4x = -10 + 2x + (3 * 4 + -3x * 4) -1 + 4x = -10 + 2x + (12 + -12x) Reorder the terms: -1 + 4x = -10 + 12 + 2x + -12x Combine like terms: -10 + 12 = 2 -1 + 4x = 2 + 2x + -12x Combine like terms: 2x + -12x = -10x -1 + 4x = 2 + -10x Solving -1 + 4x = 2 + -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. -1 + 4x + 10x = 2 + -10x + 10x Combine like terms: 4x + 10x = 14x -1 + 14x = 2 + -10x + 10x Combine like terms: -10x + 10x = 0 -1 + 14x = 2 + 0 -1 + 14x = 2 Add '1' to each side of the equation. -1 + 1 + 14x = 2 + 1 Combine like terms: -1 + 1 = 0 0 + 14x = 2 + 1 14x = 2 + 1 Combine like terms: 2 + 1 = 3 14x = 3 Divide each side by '14'. x = 0.2142857143 Simplifying x = 0.2142857143
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