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Simplifying 7 + -2(-1x + 4) = 5(-3x + 1) + -7x Reorder the terms: 7 + -2(4 + -1x) = 5(-3x + 1) + -7x 7 + (4 * -2 + -1x * -2) = 5(-3x + 1) + -7x 7 + (-8 + 2x) = 5(-3x + 1) + -7x Combine like terms: 7 + -8 = -1 -1 + 2x = 5(-3x + 1) + -7x Reorder the terms: -1 + 2x = 5(1 + -3x) + -7x -1 + 2x = (1 * 5 + -3x * 5) + -7x -1 + 2x = (5 + -15x) + -7x Combine like terms: -15x + -7x = -22x -1 + 2x = 5 + -22x Solving -1 + 2x = 5 + -22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22x' to each side of the equation. -1 + 2x + 22x = 5 + -22x + 22x Combine like terms: 2x + 22x = 24x -1 + 24x = 5 + -22x + 22x Combine like terms: -22x + 22x = 0 -1 + 24x = 5 + 0 -1 + 24x = 5 Add '1' to each side of the equation. -1 + 1 + 24x = 5 + 1 Combine like terms: -1 + 1 = 0 0 + 24x = 5 + 1 24x = 5 + 1 Combine like terms: 5 + 1 = 6 24x = 6 Divide each side by '24'. x = 0.25 Simplifying x = 0.25
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