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Simplifying 3(x + -4) = 5 + -2(3x + 5) Reorder the terms: 3(-4 + x) = 5 + -2(3x + 5) (-4 * 3 + x * 3) = 5 + -2(3x + 5) (-12 + 3x) = 5 + -2(3x + 5) Reorder the terms: -12 + 3x = 5 + -2(5 + 3x) -12 + 3x = 5 + (5 * -2 + 3x * -2) -12 + 3x = 5 + (-10 + -6x) Combine like terms: 5 + -10 = -5 -12 + 3x = -5 + -6x Solving -12 + 3x = -5 + -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. -12 + 3x + 6x = -5 + -6x + 6x Combine like terms: 3x + 6x = 9x -12 + 9x = -5 + -6x + 6x Combine like terms: -6x + 6x = 0 -12 + 9x = -5 + 0 -12 + 9x = -5 Add '12' to each side of the equation. -12 + 12 + 9x = -5 + 12 Combine like terms: -12 + 12 = 0 0 + 9x = -5 + 12 9x = -5 + 12 Combine like terms: -5 + 12 = 7 9x = 7 Divide each side by '9'. x = 0.7777777778 Simplifying x = 0.7777777778
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