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Simplifying -3x + 8 = 5x + -4(6x + -10) Reorder the terms: 8 + -3x = 5x + -4(6x + -10) Reorder the terms: 8 + -3x = 5x + -4(-10 + 6x) 8 + -3x = 5x + (-10 * -4 + 6x * -4) 8 + -3x = 5x + (40 + -24x) Reorder the terms: 8 + -3x = 40 + 5x + -24x Combine like terms: 5x + -24x = -19x 8 + -3x = 40 + -19x Solving 8 + -3x = 40 + -19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19x' to each side of the equation. 8 + -3x + 19x = 40 + -19x + 19x Combine like terms: -3x + 19x = 16x 8 + 16x = 40 + -19x + 19x Combine like terms: -19x + 19x = 0 8 + 16x = 40 + 0 8 + 16x = 40 Add '-8' to each side of the equation. 8 + -8 + 16x = 40 + -8 Combine like terms: 8 + -8 = 0 0 + 16x = 40 + -8 16x = 40 + -8 Combine like terms: 40 + -8 = 32 16x = 32 Divide each side by '16'. x = 2 Simplifying x = 2
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