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Simplifying 5x + -3(x + -4) + 2(x + -5) = 30 Reorder the terms: 5x + -3(-4 + x) + 2(x + -5) = 30 5x + (-4 * -3 + x * -3) + 2(x + -5) = 30 5x + (12 + -3x) + 2(x + -5) = 30 Reorder the terms: 5x + 12 + -3x + 2(-5 + x) = 30 5x + 12 + -3x + (-5 * 2 + x * 2) = 30 5x + 12 + -3x + (-10 + 2x) = 30 Reorder the terms: 12 + -10 + 5x + -3x + 2x = 30 Combine like terms: 12 + -10 = 2 2 + 5x + -3x + 2x = 30 Combine like terms: 5x + -3x = 2x 2 + 2x + 2x = 30 Combine like terms: 2x + 2x = 4x 2 + 4x = 30 Solving 2 + 4x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 4x = 30 + -2 Combine like terms: 2 + -2 = 0 0 + 4x = 30 + -2 4x = 30 + -2 Combine like terms: 30 + -2 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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