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Simplifying 4(2x + x) + 1 = 7x + -3(x + -2) Combine like terms: 2x + x = 3x 4(3x) + 1 = 7x + -3(x + -2) Remove parenthesis around (3x) 4 * 3x + 1 = 7x + -3(x + -2) Multiply 4 * 3 12x + 1 = 7x + -3(x + -2) Reorder the terms: 1 + 12x = 7x + -3(x + -2) Reorder the terms: 1 + 12x = 7x + -3(-2 + x) 1 + 12x = 7x + (-2 * -3 + x * -3) 1 + 12x = 7x + (6 + -3x) Reorder the terms: 1 + 12x = 6 + 7x + -3x Combine like terms: 7x + -3x = 4x 1 + 12x = 6 + 4x Solving 1 + 12x = 6 + 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. 1 + 12x + -4x = 6 + 4x + -4x Combine like terms: 12x + -4x = 8x 1 + 8x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 1 + 8x = 6 + 0 1 + 8x = 6 Add '-1' to each side of the equation. 1 + -1 + 8x = 6 + -1 Combine like terms: 1 + -1 = 0 0 + 8x = 6 + -1 8x = 6 + -1 Combine like terms: 6 + -1 = 5 8x = 5 Divide each side by '8'. x = 0.625 Simplifying x = 0.625
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