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Simplifying 6(3x + -9) + -7 = 6(x + -4) + 35 Reorder the terms: 6(-9 + 3x) + -7 = 6(x + -4) + 35 (-9 * 6 + 3x * 6) + -7 = 6(x + -4) + 35 (-54 + 18x) + -7 = 6(x + -4) + 35 Reorder the terms: -54 + -7 + 18x = 6(x + -4) + 35 Combine like terms: -54 + -7 = -61 -61 + 18x = 6(x + -4) + 35 Reorder the terms: -61 + 18x = 6(-4 + x) + 35 -61 + 18x = (-4 * 6 + x * 6) + 35 -61 + 18x = (-24 + 6x) + 35 Reorder the terms: -61 + 18x = -24 + 35 + 6x Combine like terms: -24 + 35 = 11 -61 + 18x = 11 + 6x Solving -61 + 18x = 11 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -61 + 18x + -6x = 11 + 6x + -6x Combine like terms: 18x + -6x = 12x -61 + 12x = 11 + 6x + -6x Combine like terms: 6x + -6x = 0 -61 + 12x = 11 + 0 -61 + 12x = 11 Add '61' to each side of the equation. -61 + 61 + 12x = 11 + 61 Combine like terms: -61 + 61 = 0 0 + 12x = 11 + 61 12x = 11 + 61 Combine like terms: 11 + 61 = 72 12x = 72 Divide each side by '12'. x = 6 Simplifying x = 6
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