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Simplifying 3(2x + -10) = 4(x + -3) Reorder the terms: 3(-10 + 2x) = 4(x + -3) (-10 * 3 + 2x * 3) = 4(x + -3) (-30 + 6x) = 4(x + -3) Reorder the terms: -30 + 6x = 4(-3 + x) -30 + 6x = (-3 * 4 + x * 4) -30 + 6x = (-12 + 4x) Solving -30 + 6x = -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. -30 + 6x + -4x = -12 + 4x + -4x Combine like terms: 6x + -4x = 2x -30 + 2x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 -30 + 2x = -12 + 0 -30 + 2x = -12 Add '30' to each side of the equation. -30 + 30 + 2x = -12 + 30 Combine like terms: -30 + 30 = 0 0 + 2x = -12 + 30 2x = -12 + 30 Combine like terms: -12 + 30 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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