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Simplifying 9 + -3(5 + 2x) = 4 + 8(1 + -3x) 9 + (5 * -3 + 2x * -3) = 4 + 8(1 + -3x) 9 + (-15 + -6x) = 4 + 8(1 + -3x) Combine like terms: 9 + -15 = -6 -6 + -6x = 4 + 8(1 + -3x) -6 + -6x = 4 + (1 * 8 + -3x * 8) -6 + -6x = 4 + (8 + -24x) Combine like terms: 4 + 8 = 12 -6 + -6x = 12 + -24x Solving -6 + -6x = 12 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -6 + -6x + 24x = 12 + -24x + 24x Combine like terms: -6x + 24x = 18x -6 + 18x = 12 + -24x + 24x Combine like terms: -24x + 24x = 0 -6 + 18x = 12 + 0 -6 + 18x = 12 Add '6' to each side of the equation. -6 + 6 + 18x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 18x = 12 + 6 18x = 12 + 6 Combine like terms: 12 + 6 = 18 18x = 18 Divide each side by '18'. x = 1 Simplifying x = 1
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