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Simplifying 4 + -3(6x + 1) = 5x + -3(3x + 9) Reorder the terms: 4 + -3(1 + 6x) = 5x + -3(3x + 9) 4 + (1 * -3 + 6x * -3) = 5x + -3(3x + 9) 4 + (-3 + -18x) = 5x + -3(3x + 9) Combine like terms: 4 + -3 = 1 1 + -18x = 5x + -3(3x + 9) Reorder the terms: 1 + -18x = 5x + -3(9 + 3x) 1 + -18x = 5x + (9 * -3 + 3x * -3) 1 + -18x = 5x + (-27 + -9x) Reorder the terms: 1 + -18x = -27 + 5x + -9x Combine like terms: 5x + -9x = -4x 1 + -18x = -27 + -4x Solving 1 + -18x = -27 + -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. 1 + -18x + 4x = -27 + -4x + 4x Combine like terms: -18x + 4x = -14x 1 + -14x = -27 + -4x + 4x Combine like terms: -4x + 4x = 0 1 + -14x = -27 + 0 1 + -14x = -27 Add '-1' to each side of the equation. 1 + -1 + -14x = -27 + -1 Combine like terms: 1 + -1 = 0 0 + -14x = -27 + -1 -14x = -27 + -1 Combine like terms: -27 + -1 = -28 -14x = -28 Divide each side by '-14'. x = 2 Simplifying x = 2
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