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Simplifying 2(7 + 2x) + 3(3x + -4) = 54 (7 * 2 + 2x * 2) + 3(3x + -4) = 54 (14 + 4x) + 3(3x + -4) = 54 Reorder the terms: 14 + 4x + 3(-4 + 3x) = 54 14 + 4x + (-4 * 3 + 3x * 3) = 54 14 + 4x + (-12 + 9x) = 54 Reorder the terms: 14 + -12 + 4x + 9x = 54 Combine like terms: 14 + -12 = 2 2 + 4x + 9x = 54 Combine like terms: 4x + 9x = 13x 2 + 13x = 54 Solving 2 + 13x = 54 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 + 13x = 54 + -2 Combine like terms: 2 + -2 = 0 0 + 13x = 54 + -2 13x = 54 + -2 Combine like terms: 54 + -2 = 52 13x = 52 Divide each side by '13'. x = 4 Simplifying x = 4
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