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Simplifying -16(x + 6) = 4(x + 14) Reorder the terms: -16(6 + x) = 4(x + 14) (6 * -16 + x * -16) = 4(x + 14) (-96 + -16x) = 4(x + 14) Reorder the terms: -96 + -16x = 4(14 + x) -96 + -16x = (14 * 4 + x * 4) -96 + -16x = (56 + 4x) Solving -96 + -16x = 56 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -96 + -16x + -4x = 56 + 4x + -4x Combine like terms: -16x + -4x = -20x -96 + -20x = 56 + 4x + -4x Combine like terms: 4x + -4x = 0 -96 + -20x = 56 + 0 -96 + -20x = 56 Add '96' to each side of the equation. -96 + 96 + -20x = 56 + 96 Combine like terms: -96 + 96 = 0 0 + -20x = 56 + 96 -20x = 56 + 96 Combine like terms: 56 + 96 = 152 -20x = 152 Divide each side by '-20'. x = -7.6 Simplifying x = -7.6
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