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Simplifying 4(x + 6) + -40 = -2(x + 2) Reorder the terms: 4(6 + x) + -40 = -2(x + 2) (6 * 4 + x * 4) + -40 = -2(x + 2) (24 + 4x) + -40 = -2(x + 2) Reorder the terms: 24 + -40 + 4x = -2(x + 2) Combine like terms: 24 + -40 = -16 -16 + 4x = -2(x + 2) Reorder the terms: -16 + 4x = -2(2 + x) -16 + 4x = (2 * -2 + x * -2) -16 + 4x = (-4 + -2x) Solving -16 + 4x = -4 + -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. -16 + 4x + 2x = -4 + -2x + 2x Combine like terms: 4x + 2x = 6x -16 + 6x = -4 + -2x + 2x Combine like terms: -2x + 2x = 0 -16 + 6x = -4 + 0 -16 + 6x = -4 Add '16' to each side of the equation. -16 + 16 + 6x = -4 + 16 Combine like terms: -16 + 16 = 0 0 + 6x = -4 + 16 6x = -4 + 16 Combine like terms: -4 + 16 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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