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Simplifying 7(x + -3) + 1 = 4(3 + -1x) + 3 Reorder the terms: 7(-3 + x) + 1 = 4(3 + -1x) + 3 (-3 * 7 + x * 7) + 1 = 4(3 + -1x) + 3 (-21 + 7x) + 1 = 4(3 + -1x) + 3 Reorder the terms: -21 + 1 + 7x = 4(3 + -1x) + 3 Combine like terms: -21 + 1 = -20 -20 + 7x = 4(3 + -1x) + 3 -20 + 7x = (3 * 4 + -1x * 4) + 3 -20 + 7x = (12 + -4x) + 3 Reorder the terms: -20 + 7x = 12 + 3 + -4x Combine like terms: 12 + 3 = 15 -20 + 7x = 15 + -4x Solving -20 + 7x = 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. -20 + 7x + 4x = 15 + -4x + 4x Combine like terms: 7x + 4x = 11x -20 + 11x = 15 + -4x + 4x Combine like terms: -4x + 4x = 0 -20 + 11x = 15 + 0 -20 + 11x = 15 Add '20' to each side of the equation. -20 + 20 + 11x = 15 + 20 Combine like terms: -20 + 20 = 0 0 + 11x = 15 + 20 11x = 15 + 20 Combine like terms: 15 + 20 = 35 11x = 35 Divide each side by '11'. x = 3.181818182 Simplifying x = 3.181818182
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