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Simplifying 6(4x + -9) + -2 = 6(x + -4) + 94 Reorder the terms: 6(-9 + 4x) + -2 = 6(x + -4) + 94 (-9 * 6 + 4x * 6) + -2 = 6(x + -4) + 94 (-54 + 24x) + -2 = 6(x + -4) + 94 Reorder the terms: -54 + -2 + 24x = 6(x + -4) + 94 Combine like terms: -54 + -2 = -56 -56 + 24x = 6(x + -4) + 94 Reorder the terms: -56 + 24x = 6(-4 + x) + 94 -56 + 24x = (-4 * 6 + x * 6) + 94 -56 + 24x = (-24 + 6x) + 94 Reorder the terms: -56 + 24x = -24 + 94 + 6x Combine like terms: -24 + 94 = 70 -56 + 24x = 70 + 6x Solving -56 + 24x = 70 + 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. -56 + 24x + -6x = 70 + 6x + -6x Combine like terms: 24x + -6x = 18x -56 + 18x = 70 + 6x + -6x Combine like terms: 6x + -6x = 0 -56 + 18x = 70 + 0 -56 + 18x = 70 Add '56' to each side of the equation. -56 + 56 + 18x = 70 + 56 Combine like terms: -56 + 56 = 0 0 + 18x = 70 + 56 18x = 70 + 56 Combine like terms: 70 + 56 = 126 18x = 126 Divide each side by '18'. x = 7 Simplifying x = 7
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