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Simplifying -40(1x + 13) = -8(4x + 69) Reorder the terms: -40(13 + 1x) = -8(4x + 69) (13 * -40 + 1x * -40) = -8(4x + 69) (-520 + -40x) = -8(4x + 69) Reorder the terms: -520 + -40x = -8(69 + 4x) -520 + -40x = (69 * -8 + 4x * -8) -520 + -40x = (-552 + -32x) Solving -520 + -40x = -552 + -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. -520 + -40x + 32x = -552 + -32x + 32x Combine like terms: -40x + 32x = -8x -520 + -8x = -552 + -32x + 32x Combine like terms: -32x + 32x = 0 -520 + -8x = -552 + 0 -520 + -8x = -552 Add '520' to each side of the equation. -520 + 520 + -8x = -552 + 520 Combine like terms: -520 + 520 = 0 0 + -8x = -552 + 520 -8x = -552 + 520 Combine like terms: -552 + 520 = -32 -8x = -32 Divide each side by '-8'. x = 4 Simplifying x = 4
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