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Simplifying 14 + -3x + 7x = -2(-5x + 8) Combine like terms: -3x + 7x = 4x 14 + 4x = -2(-5x + 8) Reorder the terms: 14 + 4x = -2(8 + -5x) 14 + 4x = (8 * -2 + -5x * -2) 14 + 4x = (-16 + 10x) Solving 14 + 4x = -16 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 14 + 4x + -10x = -16 + 10x + -10x Combine like terms: 4x + -10x = -6x 14 + -6x = -16 + 10x + -10x Combine like terms: 10x + -10x = 0 14 + -6x = -16 + 0 14 + -6x = -16 Add '-14' to each side of the equation. 14 + -14 + -6x = -16 + -14 Combine like terms: 14 + -14 = 0 0 + -6x = -16 + -14 -6x = -16 + -14 Combine like terms: -16 + -14 = -30 -6x = -30 Divide each side by '-6'. x = 5 Simplifying x = 5
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