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Simplifying 3(4x + -5) + 2(11 + -2x) = 48 Reorder the terms: 3(-5 + 4x) + 2(11 + -2x) = 48 (-5 * 3 + 4x * 3) + 2(11 + -2x) = 48 (-15 + 12x) + 2(11 + -2x) = 48 -15 + 12x + (11 * 2 + -2x * 2) = 48 -15 + 12x + (22 + -4x) = 48 Reorder the terms: -15 + 22 + 12x + -4x = 48 Combine like terms: -15 + 22 = 7 7 + 12x + -4x = 48 Combine like terms: 12x + -4x = 8x 7 + 8x = 48 Solving 7 + 8x = 48 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 + 8x = 48 + -7 Combine like terms: 7 + -7 = 0 0 + 8x = 48 + -7 8x = 48 + -7 Combine like terms: 48 + -7 = 41 8x = 41 Divide each side by '8'. x = 5.125 Simplifying x = 5.125
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