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Simplifying 8x + 2 = 3(5x + -2) Reorder the terms: 2 + 8x = 3(5x + -2) Reorder the terms: 2 + 8x = 3(-2 + 5x) 2 + 8x = (-2 * 3 + 5x * 3) 2 + 8x = (-6 + 15x) Solving 2 + 8x = -6 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 2 + 8x + -15x = -6 + 15x + -15x Combine like terms: 8x + -15x = -7x 2 + -7x = -6 + 15x + -15x Combine like terms: 15x + -15x = 0 2 + -7x = -6 + 0 2 + -7x = -6 Add '-2' to each side of the equation. 2 + -2 + -7x = -6 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = -6 + -2 -7x = -6 + -2 Combine like terms: -6 + -2 = -8 -7x = -8 Divide each side by '-7'. x = 1.142857143 Simplifying x = 1.142857143
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