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Simplifying 6 + 4(3 + -4x) = -2(1 + 3x) 6 + (3 * 4 + -4x * 4) = -2(1 + 3x) 6 + (12 + -16x) = -2(1 + 3x) Combine like terms: 6 + 12 = 18 18 + -16x = -2(1 + 3x) 18 + -16x = (1 * -2 + 3x * -2) 18 + -16x = (-2 + -6x) Solving 18 + -16x = -2 + -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. 18 + -16x + 6x = -2 + -6x + 6x Combine like terms: -16x + 6x = -10x 18 + -10x = -2 + -6x + 6x Combine like terms: -6x + 6x = 0 18 + -10x = -2 + 0 18 + -10x = -2 Add '-18' to each side of the equation. 18 + -18 + -10x = -2 + -18 Combine like terms: 18 + -18 = 0 0 + -10x = -2 + -18 -10x = -2 + -18 Combine like terms: -2 + -18 = -20 -10x = -20 Divide each side by '-10'. x = 2 Simplifying x = 2
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