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Simplifying 8(x + -5) = -16(x + 1) Reorder the terms: 8(-5 + x) = -16(x + 1) (-5 * 8 + x * 8) = -16(x + 1) (-40 + 8x) = -16(x + 1) Reorder the terms: -40 + 8x = -16(1 + x) -40 + 8x = (1 * -16 + x * -16) -40 + 8x = (-16 + -16x) Solving -40 + 8x = -16 + -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 = -16 + -16x + 16x Combine like terms: 8x + 16x = 24x -40 + 24x = -16 + -16x + 16x Combine like terms: -16x + 16x = 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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