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Simplifying 4(4x + -10) = 4(2x + 12) Reorder the terms: 4(-10 + 4x) = 4(2x + 12) (-10 * 4 + 4x * 4) = 4(2x + 12) (-40 + 16x) = 4(2x + 12) Reorder the terms: -40 + 16x = 4(12 + 2x) -40 + 16x = (12 * 4 + 2x * 4) -40 + 16x = (48 + 8x) Solving -40 + 16x = 48 + 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 + 16x + -8x = 48 + 8x + -8x Combine like terms: 16x + -8x = 8x -40 + 8x = 48 + 8x + -8x Combine like terms: 8x + -8x = 0 -40 + 8x = 48 + 0 -40 + 8x = 48 Add '40' to each side of the equation. -40 + 40 + 8x = 48 + 40 Combine like terms: -40 + 40 = 0 0 + 8x = 48 + 40 8x = 48 + 40 Combine like terms: 48 + 40 = 88 8x = 88 Divide each side by '8'. x = 11 Simplifying x = 11
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