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Simplifying 12x + -16 = 4(2x + -10) Reorder the terms: -16 + 12x = 4(2x + -10) Reorder the terms: -16 + 12x = 4(-10 + 2x) -16 + 12x = (-10 * 4 + 2x * 4) -16 + 12x = (-40 + 8x) Solving -16 + 12x = -40 + 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. -16 + 12x + -8x = -40 + 8x + -8x Combine like terms: 12x + -8x = 4x -16 + 4x = -40 + 8x + -8x Combine like terms: 8x + -8x = 0 -16 + 4x = -40 + 0 -16 + 4x = -40 Add '16' to each side of the equation. -16 + 16 + 4x = -40 + 16 Combine like terms: -16 + 16 = 0 0 + 4x = -40 + 16 4x = -40 + 16 Combine like terms: -40 + 16 = -24 4x = -24 Divide each side by '4'. x = -6 Simplifying x = -6
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