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Simplifying 16 + (3 + -4x) + -1(1 + -1x) = 3x + -2(x + -3) Remove parenthesis around (3 + -4x) 16 + 3 + -4x + -1(1 + -1x) = 3x + -2(x + -3) 16 + 3 + -4x + (1 * -1 + -1x * -1) = 3x + -2(x + -3) 16 + 3 + -4x + (-1 + 1x) = 3x + -2(x + -3) Reorder the terms: 16 + 3 + -1 + -4x + 1x = 3x + -2(x + -3) Combine like terms: 16 + 3 = 19 19 + -1 + -4x + 1x = 3x + -2(x + -3) Combine like terms: 19 + -1 = 18 18 + -4x + 1x = 3x + -2(x + -3) Combine like terms: -4x + 1x = -3x 18 + -3x = 3x + -2(x + -3) Reorder the terms: 18 + -3x = 3x + -2(-3 + x) 18 + -3x = 3x + (-3 * -2 + x * -2) 18 + -3x = 3x + (6 + -2x) Reorder the terms: 18 + -3x = 6 + 3x + -2x Combine like terms: 3x + -2x = 1x 18 + -3x = 6 + 1x Solving 18 + -3x = 6 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 18 + -3x + -1x = 6 + 1x + -1x Combine like terms: -3x + -1x = -4x 18 + -4x = 6 + 1x + -1x Combine like terms: 1x + -1x = 0 18 + -4x = 6 + 0 18 + -4x = 6 Add '-18' to each side of the equation. 18 + -18 + -4x = 6 + -18 Combine like terms: 18 + -18 = 0 0 + -4x = 6 + -18 -4x = 6 + -18 Combine like terms: 6 + -18 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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