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Simplifying 3(2x + -4) = 3(3x + -10) Reorder the terms: 3(-4 + 2x) = 3(3x + -10) (-4 * 3 + 2x * 3) = 3(3x + -10) (-12 + 6x) = 3(3x + -10) Reorder the terms: -12 + 6x = 3(-10 + 3x) -12 + 6x = (-10 * 3 + 3x * 3) -12 + 6x = (-30 + 9x) Solving -12 + 6x = -30 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -12 + 6x + -9x = -30 + 9x + -9x Combine like terms: 6x + -9x = -3x -12 + -3x = -30 + 9x + -9x Combine like terms: 9x + -9x = 0 -12 + -3x = -30 + 0 -12 + -3x = -30 Add '12' to each side of the equation. -12 + 12 + -3x = -30 + 12 Combine like terms: -12 + 12 = 0 0 + -3x = -30 + 12 -3x = -30 + 12 Combine like terms: -30 + 12 = -18 -3x = -18 Divide each side by '-3'. x = 6 Simplifying x = 6
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