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Simplifying 17 + -3x + 4 = 5(2x + -7) + 4 Reorder the terms: 17 + 4 + -3x = 5(2x + -7) + 4 Combine like terms: 17 + 4 = 21 21 + -3x = 5(2x + -7) + 4 Reorder the terms: 21 + -3x = 5(-7 + 2x) + 4 21 + -3x = (-7 * 5 + 2x * 5) + 4 21 + -3x = (-35 + 10x) + 4 Reorder the terms: 21 + -3x = -35 + 4 + 10x Combine like terms: -35 + 4 = -31 21 + -3x = -31 + 10x Solving 21 + -3x = -31 + 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. 21 + -3x + -10x = -31 + 10x + -10x Combine like terms: -3x + -10x = -13x 21 + -13x = -31 + 10x + -10x Combine like terms: 10x + -10x = 0 21 + -13x = -31 + 0 21 + -13x = -31 Add '-21' to each side of the equation. 21 + -21 + -13x = -31 + -21 Combine like terms: 21 + -21 = 0 0 + -13x = -31 + -21 -13x = -31 + -21 Combine like terms: -31 + -21 = -52 -13x = -52 Divide each side by '-13'. x = 4 Simplifying x = 4
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