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Simplifying -3(3x + 10) = 4(x + 2) Reorder the terms: -3(10 + 3x) = 4(x + 2) (10 * -3 + 3x * -3) = 4(x + 2) (-30 + -9x) = 4(x + 2) Reorder the terms: -30 + -9x = 4(2 + x) -30 + -9x = (2 * 4 + x * 4) -30 + -9x = (8 + 4x) Solving -30 + -9x = 8 + 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. -30 + -9x + -4x = 8 + 4x + -4x Combine like terms: -9x + -4x = -13x -30 + -13x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 -30 + -13x = 8 + 0 -30 + -13x = 8 Add '30' to each side of the equation. -30 + 30 + -13x = 8 + 30 Combine like terms: -30 + 30 = 0 0 + -13x = 8 + 30 -13x = 8 + 30 Combine like terms: 8 + 30 = 38 -13x = 38 Divide each side by '-13'. x = -2.923076923 Simplifying x = -2.923076923
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