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Simplifying 7(3x + -4) + 2(3x + -6) = 122 Reorder the terms: 7(-4 + 3x) + 2(3x + -6) = 122 (-4 * 7 + 3x * 7) + 2(3x + -6) = 122 (-28 + 21x) + 2(3x + -6) = 122 Reorder the terms: -28 + 21x + 2(-6 + 3x) = 122 -28 + 21x + (-6 * 2 + 3x * 2) = 122 -28 + 21x + (-12 + 6x) = 122 Reorder the terms: -28 + -12 + 21x + 6x = 122 Combine like terms: -28 + -12 = -40 -40 + 21x + 6x = 122 Combine like terms: 21x + 6x = 27x -40 + 27x = 122 Solving -40 + 27x = 122 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 27x = 122 + 40 Combine like terms: -40 + 40 = 0 0 + 27x = 122 + 40 27x = 122 + 40 Combine like terms: 122 + 40 = 162 27x = 162 Divide each side by '27'. x = 6 Simplifying x = 6
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