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Simplifying 2(x + -3) = 3(2x + -10) Reorder the terms: 2(-3 + x) = 3(2x + -10) (-3 * 2 + x * 2) = 3(2x + -10) (-6 + 2x) = 3(2x + -10) Reorder the terms: -6 + 2x = 3(-10 + 2x) -6 + 2x = (-10 * 3 + 2x * 3) -6 + 2x = (-30 + 6x) Solving -6 + 2x = -30 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -6 + 2x + -6x = -30 + 6x + -6x Combine like terms: 2x + -6x = -4x -6 + -4x = -30 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + -4x = -30 + 0 -6 + -4x = -30 Add '6' to each side of the equation. -6 + 6 + -4x = -30 + 6 Combine like terms: -6 + 6 = 0 0 + -4x = -30 + 6 -4x = -30 + 6 Combine like terms: -30 + 6 = -24 -4x = -24 Divide each side by '-4'. x = 6 Simplifying x = 6
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