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Simplifying 7(x + -9) + 1 = 4(3 + -1x) + 3 Reorder the terms: 7(-9 + x) + 1 = 4(3 + -1x) + 3 (-9 * 7 + x * 7) + 1 = 4(3 + -1x) + 3 (-63 + 7x) + 1 = 4(3 + -1x) + 3 Reorder the terms: -63 + 1 + 7x = 4(3 + -1x) + 3 Combine like terms: -63 + 1 = -62 -62 + 7x = 4(3 + -1x) + 3 -62 + 7x = (3 * 4 + -1x * 4) + 3 -62 + 7x = (12 + -4x) + 3 Reorder the terms: -62 + 7x = 12 + 3 + -4x Combine like terms: 12 + 3 = 15 -62 + 7x = 15 + -4x Solving -62 + 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. -62 + 7x + 4x = 15 + -4x + 4x Combine like terms: 7x + 4x = 11x -62 + 11x = 15 + -4x + 4x Combine like terms: -4x + 4x = 0 -62 + 11x = 15 + 0 -62 + 11x = 15 Add '62' to each side of the equation. -62 + 62 + 11x = 15 + 62 Combine like terms: -62 + 62 = 0 0 + 11x = 15 + 62 11x = 15 + 62 Combine like terms: 15 + 62 = 77 11x = 77 Divide each side by '11'. x = 7 Simplifying x = 7
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