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Simplifying 4(x + -10) = 8(x + 4) Reorder the terms: 4(-10 + x) = 8(x + 4) (-10 * 4 + x * 4) = 8(x + 4) (-40 + 4x) = 8(x + 4) Reorder the terms: -40 + 4x = 8(4 + x) -40 + 4x = (4 * 8 + x * 8) -40 + 4x = (32 + 8x) Solving -40 + 4x = 32 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -40 + 4x + -8x = 32 + 8x + -8x Combine like terms: 4x + -8x = -4x -40 + -4x = 32 + 8x + -8x Combine like terms: 8x + -8x = 0 -40 + -4x = 32 + 0 -40 + -4x = 32 Add '40' to each side of the equation. -40 + 40 + -4x = 32 + 40 Combine like terms: -40 + 40 = 0 0 + -4x = 32 + 40 -4x = 32 + 40 Combine like terms: 32 + 40 = 72 -4x = 72 Divide each side by '-4'. x = -18 Simplifying x = -18
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