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Simplifying 6(4x + -9) + -3 = 6(x + -3) + 87 Reorder the terms: 6(-9 + 4x) + -3 = 6(x + -3) + 87 (-9 * 6 + 4x * 6) + -3 = 6(x + -3) + 87 (-54 + 24x) + -3 = 6(x + -3) + 87 Reorder the terms: -54 + -3 + 24x = 6(x + -3) + 87 Combine like terms: -54 + -3 = -57 -57 + 24x = 6(x + -3) + 87 Reorder the terms: -57 + 24x = 6(-3 + x) + 87 -57 + 24x = (-3 * 6 + x * 6) + 87 -57 + 24x = (-18 + 6x) + 87 Reorder the terms: -57 + 24x = -18 + 87 + 6x Combine like terms: -18 + 87 = 69 -57 + 24x = 69 + 6x Solving -57 + 24x = 69 + 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. -57 + 24x + -6x = 69 + 6x + -6x Combine like terms: 24x + -6x = 18x -57 + 18x = 69 + 6x + -6x Combine like terms: 6x + -6x = 0 -57 + 18x = 69 + 0 -57 + 18x = 69 Add '57' to each side of the equation. -57 + 57 + 18x = 69 + 57 Combine like terms: -57 + 57 = 0 0 + 18x = 69 + 57 18x = 69 + 57 Combine like terms: 69 + 57 = 126 18x = 126 Divide each side by '18'. x = 7 Simplifying x = 7
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