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Simplifying 4(x + 2) + 1 = 7x + -1(x + -2) Reorder the terms: 4(2 + x) + 1 = 7x + -1(x + -2) (2 * 4 + x * 4) + 1 = 7x + -1(x + -2) (8 + 4x) + 1 = 7x + -1(x + -2) Reorder the terms: 8 + 1 + 4x = 7x + -1(x + -2) Combine like terms: 8 + 1 = 9 9 + 4x = 7x + -1(x + -2) Reorder the terms: 9 + 4x = 7x + -1(-2 + x) 9 + 4x = 7x + (-2 * -1 + x * -1) 9 + 4x = 7x + (2 + -1x) Reorder the terms: 9 + 4x = 2 + 7x + -1x Combine like terms: 7x + -1x = 6x 9 + 4x = 2 + 6x Solving 9 + 4x = 2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 9 + 4x + -6x = 2 + 6x + -6x Combine like terms: 4x + -6x = -2x 9 + -2x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 9 + -2x = 2 + 0 9 + -2x = 2 Add '-9' to each side of the equation. 9 + -9 + -2x = 2 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = 2 + -9 -2x = 2 + -9 Combine like terms: 2 + -9 = -7 -2x = -7 Divide each side by '-2'. x = 3.5 Simplifying x = 3.5
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