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Simplifying 4x + -9(2x + 6) = 4x + -3 + 6x Reorder the terms: 4x + -9(6 + 2x) = 4x + -3 + 6x 4x + (6 * -9 + 2x * -9) = 4x + -3 + 6x 4x + (-54 + -18x) = 4x + -3 + 6x Reorder the terms: -54 + 4x + -18x = 4x + -3 + 6x Combine like terms: 4x + -18x = -14x -54 + -14x = 4x + -3 + 6x Reorder the terms: -54 + -14x = -3 + 4x + 6x Combine like terms: 4x + 6x = 10x -54 + -14x = -3 + 10x Solving -54 + -14x = -3 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -54 + -14x + -10x = -3 + 10x + -10x Combine like terms: -14x + -10x = -24x -54 + -24x = -3 + 10x + -10x Combine like terms: 10x + -10x = 0 -54 + -24x = -3 + 0 -54 + -24x = -3 Add '54' to each side of the equation. -54 + 54 + -24x = -3 + 54 Combine like terms: -54 + 54 = 0 0 + -24x = -3 + 54 -24x = -3 + 54 Combine like terms: -3 + 54 = 51 -24x = 51 Divide each side by '-24'. x = -2.125 Simplifying x = -2.125
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