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Simplifying -18(x + 2) + 6(4x + -3) = 5(x + -6) + 13 Reorder the terms: -18(2 + x) + 6(4x + -3) = 5(x + -6) + 13 (2 * -18 + x * -18) + 6(4x + -3) = 5(x + -6) + 13 (-36 + -18x) + 6(4x + -3) = 5(x + -6) + 13 Reorder the terms: -36 + -18x + 6(-3 + 4x) = 5(x + -6) + 13 -36 + -18x + (-3 * 6 + 4x * 6) = 5(x + -6) + 13 -36 + -18x + (-18 + 24x) = 5(x + -6) + 13 Reorder the terms: -36 + -18 + -18x + 24x = 5(x + -6) + 13 Combine like terms: -36 + -18 = -54 -54 + -18x + 24x = 5(x + -6) + 13 Combine like terms: -18x + 24x = 6x -54 + 6x = 5(x + -6) + 13 Reorder the terms: -54 + 6x = 5(-6 + x) + 13 -54 + 6x = (-6 * 5 + x * 5) + 13 -54 + 6x = (-30 + 5x) + 13 Reorder the terms: -54 + 6x = -30 + 13 + 5x Combine like terms: -30 + 13 = -17 -54 + 6x = -17 + 5x Solving -54 + 6x = -17 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -54 + 6x + -5x = -17 + 5x + -5x Combine like terms: 6x + -5x = 1x -54 + 1x = -17 + 5x + -5x Combine like terms: 5x + -5x = 0 -54 + 1x = -17 + 0 -54 + 1x = -17 Add '54' to each side of the equation. -54 + 54 + 1x = -17 + 54 Combine like terms: -54 + 54 = 0 0 + 1x = -17 + 54 1x = -17 + 54 Combine like terms: -17 + 54 = 37 1x = 37 Divide each side by '1'. x = 37 Simplifying x = 37
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