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Simplifying 8(x + 5) = -16(x + 3) Reorder the terms: 8(5 + x) = -16(x + 3) (5 * 8 + x * 8) = -16(x + 3) (40 + 8x) = -16(x + 3) Reorder the terms: 40 + 8x = -16(3 + x) 40 + 8x = (3 * -16 + x * -16) 40 + 8x = (-48 + -16x) Solving 40 + 8x = -48 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 40 + 8x + 16x = -48 + -16x + 16x Combine like terms: 8x + 16x = 24x 40 + 24x = -48 + -16x + 16x Combine like terms: -16x + 16x = 0 40 + 24x = -48 + 0 40 + 24x = -48 Add '-40' to each side of the equation. 40 + -40 + 24x = -48 + -40 Combine like terms: 40 + -40 = 0 0 + 24x = -48 + -40 24x = -48 + -40 Combine like terms: -48 + -40 = -88 24x = -88 Divide each side by '24'. x = -3.666666667 Simplifying x = -3.666666667
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