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Simplifying -6(x + -18) + 3(x + 3) = x + 14 Reorder the terms: -6(-18 + x) + 3(x + 3) = x + 14 (-18 * -6 + x * -6) + 3(x + 3) = x + 14 (108 + -6x) + 3(x + 3) = x + 14 Reorder the terms: 108 + -6x + 3(3 + x) = x + 14 108 + -6x + (3 * 3 + x * 3) = x + 14 108 + -6x + (9 + 3x) = x + 14 Reorder the terms: 108 + 9 + -6x + 3x = x + 14 Combine like terms: 108 + 9 = 117 117 + -6x + 3x = x + 14 Combine like terms: -6x + 3x = -3x 117 + -3x = x + 14 Reorder the terms: 117 + -3x = 14 + x Solving 117 + -3x = 14 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 117 + -3x + -1x = 14 + x + -1x Combine like terms: -3x + -1x = -4x 117 + -4x = 14 + x + -1x Combine like terms: x + -1x = 0 117 + -4x = 14 + 0 117 + -4x = 14 Add '-117' to each side of the equation. 117 + -117 + -4x = 14 + -117 Combine like terms: 117 + -117 = 0 0 + -4x = 14 + -117 -4x = 14 + -117 Combine like terms: 14 + -117 = -103 -4x = -103 Divide each side by '-4'. x = 25.75 Simplifying x = 25.75
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