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Simplifying 4(x + 6) + 7(2x + -4) = 148 Reorder the terms: 4(6 + x) + 7(2x + -4) = 148 (6 * 4 + x * 4) + 7(2x + -4) = 148 (24 + 4x) + 7(2x + -4) = 148 Reorder the terms: 24 + 4x + 7(-4 + 2x) = 148 24 + 4x + (-4 * 7 + 2x * 7) = 148 24 + 4x + (-28 + 14x) = 148 Reorder the terms: 24 + -28 + 4x + 14x = 148 Combine like terms: 24 + -28 = -4 -4 + 4x + 14x = 148 Combine like terms: 4x + 14x = 18x -4 + 18x = 148 Solving -4 + 18x = 148 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 18x = 148 + 4 Combine like terms: -4 + 4 = 0 0 + 18x = 148 + 4 18x = 148 + 4 Combine like terms: 148 + 4 = 152 18x = 152 Divide each side by '18'. x = 8.444444444 Simplifying x = 8.444444444
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