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Simplifying -40 + 8x = 8(4x + -2) Reorder the terms: -40 + 8x = 8(-2 + 4x) -40 + 8x = (-2 * 8 + 4x * 8) -40 + 8x = (-16 + 32x) Solving -40 + 8x = -16 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -40 + 8x + -32x = -16 + 32x + -32x Combine like terms: 8x + -32x = -24x -40 + -24x = -16 + 32x + -32x Combine like terms: 32x + -32x = 0 -40 + -24x = -16 + 0 -40 + -24x = -16 Add '40' to each side of the equation. -40 + 40 + -24x = -16 + 40 Combine like terms: -40 + 40 = 0 0 + -24x = -16 + 40 -24x = -16 + 40 Combine like terms: -16 + 40 = 24 -24x = 24 Divide each side by '-24'. x = -1 Simplifying x = -1
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