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Simplifying 5(2x + -6) = 4(x + -3) Reorder the terms: 5(-6 + 2x) = 4(x + -3) (-6 * 5 + 2x * 5) = 4(x + -3) (-30 + 10x) = 4(x + -3) Reorder the terms: -30 + 10x = 4(-3 + x) -30 + 10x = (-3 * 4 + x * 4) -30 + 10x = (-12 + 4x) Solving -30 + 10x = -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 + 10x + -4x = -12 + 4x + -4x Combine like terms: 10x + -4x = 6x -30 + 6x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 -30 + 6x = -12 + 0 -30 + 6x = -12 Add '30' to each side of the equation. -30 + 30 + 6x = -12 + 30 Combine like terms: -30 + 30 = 0 0 + 6x = -12 + 30 6x = -12 + 30 Combine like terms: -12 + 30 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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