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Simplifying 7(x + 3) + -17 = 4x + 10 + 18x Reorder the terms: 7(3 + x) + -17 = 4x + 10 + 18x (3 * 7 + x * 7) + -17 = 4x + 10 + 18x (21 + 7x) + -17 = 4x + 10 + 18x Reorder the terms: 21 + -17 + 7x = 4x + 10 + 18x Combine like terms: 21 + -17 = 4 4 + 7x = 4x + 10 + 18x Reorder the terms: 4 + 7x = 10 + 4x + 18x Combine like terms: 4x + 18x = 22x 4 + 7x = 10 + 22x Solving 4 + 7x = 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 + 7x + -22x = 10 + 22x + -22x Combine like terms: 7x + -22x = -15x 4 + -15x = 10 + 22x + -22x Combine like terms: 22x + -22x = 0 4 + -15x = 10 + 0 4 + -15x = 10 Add '-4' to each side of the equation. 4 + -4 + -15x = 10 + -4 Combine like terms: 4 + -4 = 0 0 + -15x = 10 + -4 -15x = 10 + -4 Combine like terms: 10 + -4 = 6 -15x = 6 Divide each side by '-15'. x = -0.4 Simplifying x = -0.4
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