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Simplifying 5(x + 21) = 1x + 6(x + -3) Reorder the terms: 5(21 + x) = 1x + 6(x + -3) (21 * 5 + x * 5) = 1x + 6(x + -3) (105 + 5x) = 1x + 6(x + -3) Reorder the terms: 105 + 5x = 1x + 6(-3 + x) 105 + 5x = 1x + (-3 * 6 + x * 6) 105 + 5x = 1x + (-18 + 6x) Reorder the terms: 105 + 5x = -18 + 1x + 6x Combine like terms: 1x + 6x = 7x 105 + 5x = -18 + 7x Solving 105 + 5x = -18 + 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. 105 + 5x + -7x = -18 + 7x + -7x Combine like terms: 5x + -7x = -2x 105 + -2x = -18 + 7x + -7x Combine like terms: 7x + -7x = 0 105 + -2x = -18 + 0 105 + -2x = -18 Add '-105' to each side of the equation. 105 + -105 + -2x = -18 + -105 Combine like terms: 105 + -105 = 0 0 + -2x = -18 + -105 -2x = -18 + -105 Combine like terms: -18 + -105 = -123 -2x = -123 Divide each side by '-2'. x = 61.5 Simplifying x = 61.5
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