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Simplifying 3x + -3(3x + -8) = 6(3x + -7) + 7x Reorder the terms: 3x + -3(-8 + 3x) = 6(3x + -7) + 7x 3x + (-8 * -3 + 3x * -3) = 6(3x + -7) + 7x 3x + (24 + -9x) = 6(3x + -7) + 7x Reorder the terms: 24 + 3x + -9x = 6(3x + -7) + 7x Combine like terms: 3x + -9x = -6x 24 + -6x = 6(3x + -7) + 7x Reorder the terms: 24 + -6x = 6(-7 + 3x) + 7x 24 + -6x = (-7 * 6 + 3x * 6) + 7x 24 + -6x = (-42 + 18x) + 7x Combine like terms: 18x + 7x = 25x 24 + -6x = -42 + 25x Solving 24 + -6x = -42 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. 24 + -6x + -25x = -42 + 25x + -25x Combine like terms: -6x + -25x = -31x 24 + -31x = -42 + 25x + -25x Combine like terms: 25x + -25x = 0 24 + -31x = -42 + 0 24 + -31x = -42 Add '-24' to each side of the equation. 24 + -24 + -31x = -42 + -24 Combine like terms: 24 + -24 = 0 0 + -31x = -42 + -24 -31x = -42 + -24 Combine like terms: -42 + -24 = -66 -31x = -66 Divide each side by '-31'. x = 2.129032258 Simplifying x = 2.129032258
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