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Simplifying 3(10x + -2) = -4(x + -3) Reorder the terms: 3(-2 + 10x) = -4(x + -3) (-2 * 3 + 10x * 3) = -4(x + -3) (-6 + 30x) = -4(x + -3) Reorder the terms: -6 + 30x = -4(-3 + x) -6 + 30x = (-3 * -4 + x * -4) -6 + 30x = (12 + -4x) Solving -6 + 30x = 12 + -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. -6 + 30x + 4x = 12 + -4x + 4x Combine like terms: 30x + 4x = 34x -6 + 34x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 -6 + 34x = 12 + 0 -6 + 34x = 12 Add '6' to each side of the equation. -6 + 6 + 34x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 34x = 12 + 6 34x = 12 + 6 Combine like terms: 12 + 6 = 18 34x = 18 Divide each side by '34'. x = 0.5294117647 Simplifying x = 0.5294117647
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