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Simplifying 3(x + 4) = -4(6x + 3x) Reorder the terms: 3(4 + x) = -4(6x + 3x) (4 * 3 + x * 3) = -4(6x + 3x) (12 + 3x) = -4(6x + 3x) Combine like terms: 6x + 3x = 9x 12 + 3x = -4(9x) Remove parenthesis around (9x) 12 + 3x = -4 * 9x Multiply -4 * 9 12 + 3x = -36x Solving 12 + 3x = -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. 12 + 3x + 36x = -36x + 36x Combine like terms: 3x + 36x = 39x 12 + 39x = -36x + 36x Combine like terms: -36x + 36x = 0 12 + 39x = 0 Add '-12' to each side of the equation. 12 + -12 + 39x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 39x = 0 + -12 39x = 0 + -12 Combine like terms: 0 + -12 = -12 39x = -12 Divide each side by '39'. x = -0.3076923077 Simplifying x = -0.3076923077
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