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Simplifying 7(2x + -1) + -6x = 3 + -2(4 + -8x) Reorder the terms: 7(-1 + 2x) + -6x = 3 + -2(4 + -8x) (-1 * 7 + 2x * 7) + -6x = 3 + -2(4 + -8x) (-7 + 14x) + -6x = 3 + -2(4 + -8x) Combine like terms: 14x + -6x = 8x -7 + 8x = 3 + -2(4 + -8x) -7 + 8x = 3 + (4 * -2 + -8x * -2) -7 + 8x = 3 + (-8 + 16x) Combine like terms: 3 + -8 = -5 -7 + 8x = -5 + 16x Solving -7 + 8x = -5 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -7 + 8x + -16x = -5 + 16x + -16x Combine like terms: 8x + -16x = -8x -7 + -8x = -5 + 16x + -16x Combine like terms: 16x + -16x = 0 -7 + -8x = -5 + 0 -7 + -8x = -5 Add '7' to each side of the equation. -7 + 7 + -8x = -5 + 7 Combine like terms: -7 + 7 = 0 0 + -8x = -5 + 7 -8x = -5 + 7 Combine like terms: -5 + 7 = 2 -8x = 2 Divide each side by '-8'. x = -0.25 Simplifying x = -0.25
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