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Simplifying 3 + -1(2x + -7) + 3 = 5 + -4(x + 1) Reorder the terms: 3 + -1(-7 + 2x) + 3 = 5 + -4(x + 1) 3 + (-7 * -1 + 2x * -1) + 3 = 5 + -4(x + 1) 3 + (7 + -2x) + 3 = 5 + -4(x + 1) Reorder the terms: 3 + 7 + 3 + -2x = 5 + -4(x + 1) Combine like terms: 3 + 7 = 10 10 + 3 + -2x = 5 + -4(x + 1) Combine like terms: 10 + 3 = 13 13 + -2x = 5 + -4(x + 1) Reorder the terms: 13 + -2x = 5 + -4(1 + x) 13 + -2x = 5 + (1 * -4 + x * -4) 13 + -2x = 5 + (-4 + -4x) Combine like terms: 5 + -4 = 1 13 + -2x = 1 + -4x Solving 13 + -2x = 1 + -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. 13 + -2x + 4x = 1 + -4x + 4x Combine like terms: -2x + 4x = 2x 13 + 2x = 1 + -4x + 4x Combine like terms: -4x + 4x = 0 13 + 2x = 1 + 0 13 + 2x = 1 Add '-13' to each side of the equation. 13 + -13 + 2x = 1 + -13 Combine like terms: 13 + -13 = 0 0 + 2x = 1 + -13 2x = 1 + -13 Combine like terms: 1 + -13 = -12 2x = -12 Divide each side by '2'. x = -6 Simplifying x = -6
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