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Simplifying 4(4x + 1) = -2(-5x + 67) Reorder the terms: 4(1 + 4x) = -2(-5x + 67) (1 * 4 + 4x * 4) = -2(-5x + 67) (4 + 16x) = -2(-5x + 67) Reorder the terms: 4 + 16x = -2(67 + -5x) 4 + 16x = (67 * -2 + -5x * -2) 4 + 16x = (-134 + 10x) Solving 4 + 16x = -134 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 4 + 16x + -10x = -134 + 10x + -10x Combine like terms: 16x + -10x = 6x 4 + 6x = -134 + 10x + -10x Combine like terms: 10x + -10x = 0 4 + 6x = -134 + 0 4 + 6x = -134 Add '-4' to each side of the equation. 4 + -4 + 6x = -134 + -4 Combine like terms: 4 + -4 = 0 0 + 6x = -134 + -4 6x = -134 + -4 Combine like terms: -134 + -4 = -138 6x = -138 Divide each side by '6'. x = -23 Simplifying x = -23
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