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Simplifying -40 + 6x = 6x + -8(x + -2) Reorder the terms: -40 + 6x = 6x + -8(-2 + x) -40 + 6x = 6x + (-2 * -8 + x * -8) -40 + 6x = 6x + (16 + -8x) Reorder the terms: -40 + 6x = 16 + 6x + -8x Combine like terms: 6x + -8x = -2x -40 + 6x = 16 + -2x Solving -40 + 6x = 16 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -40 + 6x + 2x = 16 + -2x + 2x Combine like terms: 6x + 2x = 8x -40 + 8x = 16 + -2x + 2x Combine like terms: -2x + 2x = 0 -40 + 8x = 16 + 0 -40 + 8x = 16 Add '40' to each side of the equation. -40 + 40 + 8x = 16 + 40 Combine like terms: -40 + 40 = 0 0 + 8x = 16 + 40 8x = 16 + 40 Combine like terms: 16 + 40 = 56 8x = 56 Divide each side by '8'. x = 7 Simplifying x = 7
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