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Simplifying 3(2x + -10) + 4(x + -7) = 12 Reorder the terms: 3(-10 + 2x) + 4(x + -7) = 12 (-10 * 3 + 2x * 3) + 4(x + -7) = 12 (-30 + 6x) + 4(x + -7) = 12 Reorder the terms: -30 + 6x + 4(-7 + x) = 12 -30 + 6x + (-7 * 4 + x * 4) = 12 -30 + 6x + (-28 + 4x) = 12 Reorder the terms: -30 + -28 + 6x + 4x = 12 Combine like terms: -30 + -28 = -58 -58 + 6x + 4x = 12 Combine like terms: 6x + 4x = 10x -58 + 10x = 12 Solving -58 + 10x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '58' to each side of the equation. -58 + 58 + 10x = 12 + 58 Combine like terms: -58 + 58 = 0 0 + 10x = 12 + 58 10x = 12 + 58 Combine like terms: 12 + 58 = 70 10x = 70 Divide each side by '10'. x = 7 Simplifying x = 7
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