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Simplifying 6(x + -7) + 40 = 8x + -20 Reorder the terms: 6(-7 + x) + 40 = 8x + -20 (-7 * 6 + x * 6) + 40 = 8x + -20 (-42 + 6x) + 40 = 8x + -20 Reorder the terms: -42 + 40 + 6x = 8x + -20 Combine like terms: -42 + 40 = -2 -2 + 6x = 8x + -20 Reorder the terms: -2 + 6x = -20 + 8x Solving -2 + 6x = -20 + 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. -2 + 6x + -8x = -20 + 8x + -8x Combine like terms: 6x + -8x = -2x -2 + -2x = -20 + 8x + -8x Combine like terms: 8x + -8x = 0 -2 + -2x = -20 + 0 -2 + -2x = -20 Add '2' to each side of the equation. -2 + 2 + -2x = -20 + 2 Combine like terms: -2 + 2 = 0 0 + -2x = -20 + 2 -2x = -20 + 2 Combine like terms: -20 + 2 = -18 -2x = -18 Divide each side by '-2'. x = 9 Simplifying x = 9
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