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Simplifying 6(x + -9) + -7 = 24x + -133 Reorder the terms: 6(-9 + x) + -7 = 24x + -133 (-9 * 6 + x * 6) + -7 = 24x + -133 (-54 + 6x) + -7 = 24x + -133 Reorder the terms: -54 + -7 + 6x = 24x + -133 Combine like terms: -54 + -7 = -61 -61 + 6x = 24x + -133 Reorder the terms: -61 + 6x = -133 + 24x Solving -61 + 6x = -133 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -61 + 6x + -24x = -133 + 24x + -24x Combine like terms: 6x + -24x = -18x -61 + -18x = -133 + 24x + -24x Combine like terms: 24x + -24x = 0 -61 + -18x = -133 + 0 -61 + -18x = -133 Add '61' to each side of the equation. -61 + 61 + -18x = -133 + 61 Combine like terms: -61 + 61 = 0 0 + -18x = -133 + 61 -18x = -133 + 61 Combine like terms: -133 + 61 = -72 -18x = -72 Divide each side by '-18'. x = 4 Simplifying x = 4
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