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Simplifying 4(x + -3) = 5(6 + -2x) Reorder the terms: 4(-3 + x) = 5(6 + -2x) (-3 * 4 + x * 4) = 5(6 + -2x) (-12 + 4x) = 5(6 + -2x) -12 + 4x = (6 * 5 + -2x * 5) -12 + 4x = (30 + -10x) Solving -12 + 4x = 30 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -12 + 4x + 10x = 30 + -10x + 10x Combine like terms: 4x + 10x = 14x -12 + 14x = 30 + -10x + 10x Combine like terms: -10x + 10x = 0 -12 + 14x = 30 + 0 -12 + 14x = 30 Add '12' to each side of the equation. -12 + 12 + 14x = 30 + 12 Combine like terms: -12 + 12 = 0 0 + 14x = 30 + 12 14x = 30 + 12 Combine like terms: 30 + 12 = 42 14x = 42 Divide each side by '14'. x = 3 Simplifying x = 3
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