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Simplifying 3(4 + 6) + -4x = 5(x + 3) + -3 + 9x Combine like terms: 4 + 6 = 10 3(10) + -4x = 5(x + 3) + -3 + 9x Multiply 3 * 10 30 + -4x = 5(x + 3) + -3 + 9x Reorder the terms: 30 + -4x = 5(3 + x) + -3 + 9x 30 + -4x = (3 * 5 + x * 5) + -3 + 9x 30 + -4x = (15 + 5x) + -3 + 9x Reorder the terms: 30 + -4x = 15 + -3 + 5x + 9x Combine like terms: 15 + -3 = 12 30 + -4x = 12 + 5x + 9x Combine like terms: 5x + 9x = 14x 30 + -4x = 12 + 14x Solving 30 + -4x = 12 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 30 + -4x + -14x = 12 + 14x + -14x Combine like terms: -4x + -14x = -18x 30 + -18x = 12 + 14x + -14x Combine like terms: 14x + -14x = 0 30 + -18x = 12 + 0 30 + -18x = 12 Add '-30' to each side of the equation. 30 + -30 + -18x = 12 + -30 Combine like terms: 30 + -30 = 0 0 + -18x = 12 + -30 -18x = 12 + -30 Combine like terms: 12 + -30 = -18 -18x = -18 Divide each side by '-18'. x = 1 Simplifying x = 1
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