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Simplifying 4(x + -3) + -5(2x + 1) = 2 + -7(5x + 1) Reorder the terms: 4(-3 + x) + -5(2x + 1) = 2 + -7(5x + 1) (-3 * 4 + x * 4) + -5(2x + 1) = 2 + -7(5x + 1) (-12 + 4x) + -5(2x + 1) = 2 + -7(5x + 1) Reorder the terms: -12 + 4x + -5(1 + 2x) = 2 + -7(5x + 1) -12 + 4x + (1 * -5 + 2x * -5) = 2 + -7(5x + 1) -12 + 4x + (-5 + -10x) = 2 + -7(5x + 1) Reorder the terms: -12 + -5 + 4x + -10x = 2 + -7(5x + 1) Combine like terms: -12 + -5 = -17 -17 + 4x + -10x = 2 + -7(5x + 1) Combine like terms: 4x + -10x = -6x -17 + -6x = 2 + -7(5x + 1) Reorder the terms: -17 + -6x = 2 + -7(1 + 5x) -17 + -6x = 2 + (1 * -7 + 5x * -7) -17 + -6x = 2 + (-7 + -35x) Combine like terms: 2 + -7 = -5 -17 + -6x = -5 + -35x Solving -17 + -6x = -5 + -35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35x' to each side of the equation. -17 + -6x + 35x = -5 + -35x + 35x Combine like terms: -6x + 35x = 29x -17 + 29x = -5 + -35x + 35x Combine like terms: -35x + 35x = 0 -17 + 29x = -5 + 0 -17 + 29x = -5 Add '17' to each side of the equation. -17 + 17 + 29x = -5 + 17 Combine like terms: -17 + 17 = 0 0 + 29x = -5 + 17 29x = -5 + 17 Combine like terms: -5 + 17 = 12 29x = 12 Divide each side by '29'. x = 0.4137931034 Simplifying x = 0.4137931034
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