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Simplifying 4 + 3(2x + 1) + 1 = 6x + -2(x + -6) + 3 Reorder the terms: 4 + 3(1 + 2x) + 1 = 6x + -2(x + -6) + 3 4 + (1 * 3 + 2x * 3) + 1 = 6x + -2(x + -6) + 3 4 + (3 + 6x) + 1 = 6x + -2(x + -6) + 3 Reorder the terms: 4 + 3 + 1 + 6x = 6x + -2(x + -6) + 3 Combine like terms: 4 + 3 = 7 7 + 1 + 6x = 6x + -2(x + -6) + 3 Combine like terms: 7 + 1 = 8 8 + 6x = 6x + -2(x + -6) + 3 Reorder the terms: 8 + 6x = 6x + -2(-6 + x) + 3 8 + 6x = 6x + (-6 * -2 + x * -2) + 3 8 + 6x = 6x + (12 + -2x) + 3 Reorder the terms: 8 + 6x = 12 + 3 + 6x + -2x Combine like terms: 12 + 3 = 15 8 + 6x = 15 + 6x + -2x Combine like terms: 6x + -2x = 4x 8 + 6x = 15 + 4x Solving 8 + 6x = 15 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 8 + 6x + -4x = 15 + 4x + -4x Combine like terms: 6x + -4x = 2x 8 + 2x = 15 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + 2x = 15 + 0 8 + 2x = 15 Add '-8' to each side of the equation. 8 + -8 + 2x = 15 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 15 + -8 2x = 15 + -8 Combine like terms: 15 + -8 = 7 2x = 7 Divide each side by '2'. x = 3.5 Simplifying x = 3.5
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