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Simplifying 6x + 30 + 4x = 1(x + 3) Reorder the terms: 30 + 6x + 4x = 1(x + 3) Combine like terms: 6x + 4x = 10x 30 + 10x = 1(x + 3) Reorder the terms: 30 + 10x = 1(3 + x) 30 + 10x = (3 * 1 + x * 1) 30 + 10x = (3 + 1x) Solving 30 + 10x = 3 + 1x 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. 30 + 10x + -1x = 3 + 1x + -1x Combine like terms: 10x + -1x = 9x 30 + 9x = 3 + 1x + -1x Combine like terms: 1x + -1x = 0 30 + 9x = 3 + 0 30 + 9x = 3 Add '-30' to each side of the equation. 30 + -30 + 9x = 3 + -30 Combine like terms: 30 + -30 = 0 0 + 9x = 3 + -30 9x = 3 + -30 Combine like terms: 3 + -30 = -27 9x = -27 Divide each side by '9'. x = -3 Simplifying x = -3
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