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Simplifying 4x + -8 = 2(3x + -5) + 17 Reorder the terms: -8 + 4x = 2(3x + -5) + 17 Reorder the terms: -8 + 4x = 2(-5 + 3x) + 17 -8 + 4x = (-5 * 2 + 3x * 2) + 17 -8 + 4x = (-10 + 6x) + 17 Reorder the terms: -8 + 4x = -10 + 17 + 6x Combine like terms: -10 + 17 = 7 -8 + 4x = 7 + 6x Solving -8 + 4x = 7 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -8 + 4x + -6x = 7 + 6x + -6x Combine like terms: 4x + -6x = -2x -8 + -2x = 7 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + -2x = 7 + 0 -8 + -2x = 7 Add '8' to each side of the equation. -8 + 8 + -2x = 7 + 8 Combine like terms: -8 + 8 = 0 0 + -2x = 7 + 8 -2x = 7 + 8 Combine like terms: 7 + 8 = 15 -2x = 15 Divide each side by '-2'. x = -7.5 Simplifying x = -7.5
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