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Simplifying 3(4x + -3) + 5(6x) = -2(2x + 1) Reorder the terms: 3(-3 + 4x) + 5(6x) = -2(2x + 1) (-3 * 3 + 4x * 3) + 5(6x) = -2(2x + 1) (-9 + 12x) + 5(6x) = -2(2x + 1) Remove parenthesis around (6x) -9 + 12x + 5 * 6x = -2(2x + 1) Multiply 5 * 6 -9 + 12x + 30x = -2(2x + 1) Combine like terms: 12x + 30x = 42x -9 + 42x = -2(2x + 1) Reorder the terms: -9 + 42x = -2(1 + 2x) -9 + 42x = (1 * -2 + 2x * -2) -9 + 42x = (-2 + -4x) Solving -9 + 42x = -2 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -9 + 42x + 4x = -2 + -4x + 4x Combine like terms: 42x + 4x = 46x -9 + 46x = -2 + -4x + 4x Combine like terms: -4x + 4x = 0 -9 + 46x = -2 + 0 -9 + 46x = -2 Add '9' to each side of the equation. -9 + 9 + 46x = -2 + 9 Combine like terms: -9 + 9 = 0 0 + 46x = -2 + 9 46x = -2 + 9 Combine like terms: -2 + 9 = 7 46x = 7 Divide each side by '46'. x = 0.152173913 Simplifying x = 0.152173913
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