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Simplifying 3(2x + -5) + 4(x + 2) = 7 Reorder the terms: 3(-5 + 2x) + 4(x + 2) = 7 (-5 * 3 + 2x * 3) + 4(x + 2) = 7 (-15 + 6x) + 4(x + 2) = 7 Reorder the terms: -15 + 6x + 4(2 + x) = 7 -15 + 6x + (2 * 4 + x * 4) = 7 -15 + 6x + (8 + 4x) = 7 Reorder the terms: -15 + 8 + 6x + 4x = 7 Combine like terms: -15 + 8 = -7 -7 + 6x + 4x = 7 Combine like terms: 6x + 4x = 10x -7 + 10x = 7 Solving -7 + 10x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 10x = 7 + 7 Combine like terms: -7 + 7 = 0 0 + 10x = 7 + 7 10x = 7 + 7 Combine like terms: 7 + 7 = 14 10x = 14 Divide each side by '10'. x = 1.4 Simplifying x = 1.4
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