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Simplifying x + -3(5x + -2) = 2x + 2(3x + -8) Reorder the terms: x + -3(-2 + 5x) = 2x + 2(3x + -8) x + (-2 * -3 + 5x * -3) = 2x + 2(3x + -8) x + (6 + -15x) = 2x + 2(3x + -8) Reorder the terms: 6 + x + -15x = 2x + 2(3x + -8) Combine like terms: x + -15x = -14x 6 + -14x = 2x + 2(3x + -8) Reorder the terms: 6 + -14x = 2x + 2(-8 + 3x) 6 + -14x = 2x + (-8 * 2 + 3x * 2) 6 + -14x = 2x + (-16 + 6x) Reorder the terms: 6 + -14x = -16 + 2x + 6x Combine like terms: 2x + 6x = 8x 6 + -14x = -16 + 8x Solving 6 + -14x = -16 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 6 + -14x + -8x = -16 + 8x + -8x Combine like terms: -14x + -8x = -22x 6 + -22x = -16 + 8x + -8x Combine like terms: 8x + -8x = 0 6 + -22x = -16 + 0 6 + -22x = -16 Add '-6' to each side of the equation. 6 + -6 + -22x = -16 + -6 Combine like terms: 6 + -6 = 0 0 + -22x = -16 + -6 -22x = -16 + -6 Combine like terms: -16 + -6 = -22 -22x = -22 Divide each side by '-22'. x = 1 Simplifying x = 1
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