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Simplifying 7(x + -6) = 4(2x + -1) Reorder the terms: 7(-6 + x) = 4(2x + -1) (-6 * 7 + x * 7) = 4(2x + -1) (-42 + 7x) = 4(2x + -1) Reorder the terms: -42 + 7x = 4(-1 + 2x) -42 + 7x = (-1 * 4 + 2x * 4) -42 + 7x = (-4 + 8x) Solving -42 + 7x = -4 + 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. -42 + 7x + -8x = -4 + 8x + -8x Combine like terms: 7x + -8x = -1x -42 + -1x = -4 + 8x + -8x Combine like terms: 8x + -8x = 0 -42 + -1x = -4 + 0 -42 + -1x = -4 Add '42' to each side of the equation. -42 + 42 + -1x = -4 + 42 Combine like terms: -42 + 42 = 0 0 + -1x = -4 + 42 -1x = -4 + 42 Combine like terms: -4 + 42 = 38 -1x = 38 Divide each side by '-1'. x = -38 Simplifying x = -38
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