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Simplifying -3x + 5(3x + 2) = -3(7x + 4) + 3x + 2 Reorder the terms: -3x + 5(2 + 3x) = -3(7x + 4) + 3x + 2 -3x + (2 * 5 + 3x * 5) = -3(7x + 4) + 3x + 2 -3x + (10 + 15x) = -3(7x + 4) + 3x + 2 Reorder the terms: 10 + -3x + 15x = -3(7x + 4) + 3x + 2 Combine like terms: -3x + 15x = 12x 10 + 12x = -3(7x + 4) + 3x + 2 Reorder the terms: 10 + 12x = -3(4 + 7x) + 3x + 2 10 + 12x = (4 * -3 + 7x * -3) + 3x + 2 10 + 12x = (-12 + -21x) + 3x + 2 Reorder the terms: 10 + 12x = -12 + 2 + -21x + 3x Combine like terms: -12 + 2 = -10 10 + 12x = -10 + -21x + 3x Combine like terms: -21x + 3x = -18x 10 + 12x = -10 + -18x Solving 10 + 12x = -10 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 10 + 12x + 18x = -10 + -18x + 18x Combine like terms: 12x + 18x = 30x 10 + 30x = -10 + -18x + 18x Combine like terms: -18x + 18x = 0 10 + 30x = -10 + 0 10 + 30x = -10 Add '-10' to each side of the equation. 10 + -10 + 30x = -10 + -10 Combine like terms: 10 + -10 = 0 0 + 30x = -10 + -10 30x = -10 + -10 Combine like terms: -10 + -10 = -20 30x = -20 Divide each side by '30'. x = -0.6666666667 Simplifying x = -0.6666666667
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