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Simplifying 4(4x + 1) = 18 + -3(4 + -2x) Reorder the terms: 4(1 + 4x) = 18 + -3(4 + -2x) (1 * 4 + 4x * 4) = 18 + -3(4 + -2x) (4 + 16x) = 18 + -3(4 + -2x) 4 + 16x = 18 + (4 * -3 + -2x * -3) 4 + 16x = 18 + (-12 + 6x) Combine like terms: 18 + -12 = 6 4 + 16x = 6 + 6x Solving 4 + 16x = 6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 4 + 16x + -6x = 6 + 6x + -6x Combine like terms: 16x + -6x = 10x 4 + 10x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + 10x = 6 + 0 4 + 10x = 6 Add '-4' to each side of the equation. 4 + -4 + 10x = 6 + -4 Combine like terms: 4 + -4 = 0 0 + 10x = 6 + -4 10x = 6 + -4 Combine like terms: 6 + -4 = 2 10x = 2 Divide each side by '10'. x = 0.2 Simplifying x = 0.2
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