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Simplifying 7x + -2 = 4(x + 1) + 13x + -6 Reorder the terms: -2 + 7x = 4(x + 1) + 13x + -6 Reorder the terms: -2 + 7x = 4(1 + x) + 13x + -6 -2 + 7x = (1 * 4 + x * 4) + 13x + -6 -2 + 7x = (4 + 4x) + 13x + -6 Reorder the terms: -2 + 7x = 4 + -6 + 4x + 13x Combine like terms: 4 + -6 = -2 -2 + 7x = -2 + 4x + 13x Combine like terms: 4x + 13x = 17x -2 + 7x = -2 + 17x Add '2' to each side of the equation. -2 + 2 + 7x = -2 + 2 + 17x Combine like terms: -2 + 2 = 0 0 + 7x = -2 + 2 + 17x 7x = -2 + 2 + 17x Combine like terms: -2 + 2 = 0 7x = 0 + 17x 7x = 17x Solving 7x = 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 7x + -17x = 17x + -17x Combine like terms: 7x + -17x = -10x -10x = 17x + -17x Combine like terms: 17x + -17x = 0 -10x = 0 Divide each side by '-10'. x = 0.0 Simplifying x = 0.0
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