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Simplifying 7(2x + 3) + -17 = 4x + 10 + 18x Reorder the terms: 7(3 + 2x) + -17 = 4x + 10 + 18x (3 * 7 + 2x * 7) + -17 = 4x + 10 + 18x (21 + 14x) + -17 = 4x + 10 + 18x Reorder the terms: 21 + -17 + 14x = 4x + 10 + 18x Combine like terms: 21 + -17 = 4 4 + 14x = 4x + 10 + 18x Reorder the terms: 4 + 14x = 10 + 4x + 18x Combine like terms: 4x + 18x = 22x 4 + 14x = 10 + 22x Solving 4 + 14x = 10 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. 4 + 14x + -22x = 10 + 22x + -22x Combine like terms: 14x + -22x = -8x 4 + -8x = 10 + 22x + -22x Combine like terms: 22x + -22x = 0 4 + -8x = 10 + 0 4 + -8x = 10 Add '-4' to each side of the equation. 4 + -4 + -8x = 10 + -4 Combine like terms: 4 + -4 = 0 0 + -8x = 10 + -4 -8x = 10 + -4 Combine like terms: 10 + -4 = 6 -8x = 6 Divide each side by '-8'. x = -0.75 Simplifying x = -0.75
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