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Simplifying 6(4x + -9) + -7 = 6(x + -3) + 65 Reorder the terms: 6(-9 + 4x) + -7 = 6(x + -3) + 65 (-9 * 6 + 4x * 6) + -7 = 6(x + -3) + 65 (-54 + 24x) + -7 = 6(x + -3) + 65 Reorder the terms: -54 + -7 + 24x = 6(x + -3) + 65 Combine like terms: -54 + -7 = -61 -61 + 24x = 6(x + -3) + 65 Reorder the terms: -61 + 24x = 6(-3 + x) + 65 -61 + 24x = (-3 * 6 + x * 6) + 65 -61 + 24x = (-18 + 6x) + 65 Reorder the terms: -61 + 24x = -18 + 65 + 6x Combine like terms: -18 + 65 = 47 -61 + 24x = 47 + 6x Solving -61 + 24x = 47 + 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 + 24x + -6x = 47 + 6x + -6x Combine like terms: 24x + -6x = 18x -61 + 18x = 47 + 6x + -6x Combine like terms: 6x + -6x = 0 -61 + 18x = 47 + 0 -61 + 18x = 47 Add '61' to each side of the equation. -61 + 61 + 18x = 47 + 61 Combine like terms: -61 + 61 = 0 0 + 18x = 47 + 61 18x = 47 + 61 Combine like terms: 47 + 61 = 108 18x = 108 Divide each side by '18'. x = 6 Simplifying x = 6
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