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Simplifying -2x + 40 = 6(x + 4) Reorder the terms: 40 + -2x = 6(x + 4) Reorder the terms: 40 + -2x = 6(4 + x) 40 + -2x = (4 * 6 + x * 6) 40 + -2x = (24 + 6x) Solving 40 + -2x = 24 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 40 + -2x + -6x = 24 + 6x + -6x Combine like terms: -2x + -6x = -8x 40 + -8x = 24 + 6x + -6x Combine like terms: 6x + -6x = 0 40 + -8x = 24 + 0 40 + -8x = 24 Add '-40' to each side of the equation. 40 + -40 + -8x = 24 + -40 Combine like terms: 40 + -40 = 0 0 + -8x = 24 + -40 -8x = 24 + -40 Combine like terms: 24 + -40 = -16 -8x = -16 Divide each side by '-8'. x = 2 Simplifying x = 2
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