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Simplifying 3(x + -14) = 7(x + -18) Reorder the terms: 3(-14 + x) = 7(x + -18) (-14 * 3 + x * 3) = 7(x + -18) (-42 + 3x) = 7(x + -18) Reorder the terms: -42 + 3x = 7(-18 + x) -42 + 3x = (-18 * 7 + x * 7) -42 + 3x = (-126 + 7x) Solving -42 + 3x = -126 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -42 + 3x + -7x = -126 + 7x + -7x Combine like terms: 3x + -7x = -4x -42 + -4x = -126 + 7x + -7x Combine like terms: 7x + -7x = 0 -42 + -4x = -126 + 0 -42 + -4x = -126 Add '42' to each side of the equation. -42 + 42 + -4x = -126 + 42 Combine like terms: -42 + 42 = 0 0 + -4x = -126 + 42 -4x = -126 + 42 Combine like terms: -126 + 42 = -84 -4x = -84 Divide each side by '-4'. x = 21 Simplifying x = 21
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