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