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Simplifying 4(2x + -3) = 10 + -3x Reorder the terms: 4(-3 + 2x) = 10 + -3x (-3 * 4 + 2x * 4) = 10 + -3x (-12 + 8x) = 10 + -3x Solving -12 + 8x = 10 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -12 + 8x + 3x = 10 + -3x + 3x Combine like terms: 8x + 3x = 11x -12 + 11x = 10 + -3x + 3x Combine like terms: -3x + 3x = 0 -12 + 11x = 10 + 0 -12 + 11x = 10 Add '12' to each side of the equation. -12 + 12 + 11x = 10 + 12 Combine like terms: -12 + 12 = 0 0 + 11x = 10 + 12 11x = 10 + 12 Combine like terms: 10 + 12 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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