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Simplifying 4(7x + -44) = 3 + -2(x + 6) Reorder the terms: 4(-44 + 7x) = 3 + -2(x + 6) (-44 * 4 + 7x * 4) = 3 + -2(x + 6) (-176 + 28x) = 3 + -2(x + 6) Reorder the terms: -176 + 28x = 3 + -2(6 + x) -176 + 28x = 3 + (6 * -2 + x * -2) -176 + 28x = 3 + (-12 + -2x) Combine like terms: 3 + -12 = -9 -176 + 28x = -9 + -2x Solving -176 + 28x = -9 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -176 + 28x + 2x = -9 + -2x + 2x Combine like terms: 28x + 2x = 30x -176 + 30x = -9 + -2x + 2x Combine like terms: -2x + 2x = 0 -176 + 30x = -9 + 0 -176 + 30x = -9 Add '176' to each side of the equation. -176 + 176 + 30x = -9 + 176 Combine like terms: -176 + 176 = 0 0 + 30x = -9 + 176 30x = -9 + 176 Combine like terms: -9 + 176 = 167 30x = 167 Divide each side by '30'. x = 5.566666667 Simplifying x = 5.566666667
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