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Simplifying 6(x + -3) = 4(x + 22) Reorder the terms: 6(-3 + x) = 4(x + 22) (-3 * 6 + x * 6) = 4(x + 22) (-18 + 6x) = 4(x + 22) Reorder the terms: -18 + 6x = 4(22 + x) -18 + 6x = (22 * 4 + x * 4) -18 + 6x = (88 + 4x) Solving -18 + 6x = 88 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -18 + 6x + -4x = 88 + 4x + -4x Combine like terms: 6x + -4x = 2x -18 + 2x = 88 + 4x + -4x Combine like terms: 4x + -4x = 0 -18 + 2x = 88 + 0 -18 + 2x = 88 Add '18' to each side of the equation. -18 + 18 + 2x = 88 + 18 Combine like terms: -18 + 18 = 0 0 + 2x = 88 + 18 2x = 88 + 18 Combine like terms: 88 + 18 = 106 2x = 106 Divide each side by '2'. x = 53 Simplifying x = 53
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