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Simplifying 6(x + 1) + x = -3(-7 + -1x) Reorder the terms: 6(1 + x) + x = -3(-7 + -1x) (1 * 6 + x * 6) + x = -3(-7 + -1x) (6 + 6x) + x = -3(-7 + -1x) Combine like terms: 6x + x = 7x 6 + 7x = -3(-7 + -1x) 6 + 7x = (-7 * -3 + -1x * -3) 6 + 7x = (21 + 3x) Solving 6 + 7x = 21 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 6 + 7x + -3x = 21 + 3x + -3x Combine like terms: 7x + -3x = 4x 6 + 4x = 21 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + 4x = 21 + 0 6 + 4x = 21 Add '-6' to each side of the equation. 6 + -6 + 4x = 21 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = 21 + -6 4x = 21 + -6 Combine like terms: 21 + -6 = 15 4x = 15 Divide each side by '4'. x = 3.75 Simplifying x = 3.75
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