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Simplifying -16x + 15 = -3(4x + 11) Reorder the terms: 15 + -16x = -3(4x + 11) Reorder the terms: 15 + -16x = -3(11 + 4x) 15 + -16x = (11 * -3 + 4x * -3) 15 + -16x = (-33 + -12x) Solving 15 + -16x = -33 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 15 + -16x + 12x = -33 + -12x + 12x Combine like terms: -16x + 12x = -4x 15 + -4x = -33 + -12x + 12x Combine like terms: -12x + 12x = 0 15 + -4x = -33 + 0 15 + -4x = -33 Add '-15' to each side of the equation. 15 + -15 + -4x = -33 + -15 Combine like terms: 15 + -15 = 0 0 + -4x = -33 + -15 -4x = -33 + -15 Combine like terms: -33 + -15 = -48 -4x = -48 Divide each side by '-4'. x = 12 Simplifying x = 12
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