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Simplifying 17 + -1(3x + -7) + 19x = 4(5x + 3) Reorder the terms: 17 + -1(-7 + 3x) + 19x = 4(5x + 3) 17 + (-7 * -1 + 3x * -1) + 19x = 4(5x + 3) 17 + (7 + -3x) + 19x = 4(5x + 3) Combine like terms: 17 + 7 = 24 24 + -3x + 19x = 4(5x + 3) Combine like terms: -3x + 19x = 16x 24 + 16x = 4(5x + 3) Reorder the terms: 24 + 16x = 4(3 + 5x) 24 + 16x = (3 * 4 + 5x * 4) 24 + 16x = (12 + 20x) Solving 24 + 16x = 12 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 24 + 16x + -20x = 12 + 20x + -20x Combine like terms: 16x + -20x = -4x 24 + -4x = 12 + 20x + -20x Combine like terms: 20x + -20x = 0 24 + -4x = 12 + 0 24 + -4x = 12 Add '-24' to each side of the equation. 24 + -24 + -4x = 12 + -24 Combine like terms: 24 + -24 = 0 0 + -4x = 12 + -24 -4x = 12 + -24 Combine like terms: 12 + -24 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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