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Simplifying 6(x + 1) + -2(x + -3) = 10 + -1(3x + -16) Reorder the terms: 6(1 + x) + -2(x + -3) = 10 + -1(3x + -16) (1 * 6 + x * 6) + -2(x + -3) = 10 + -1(3x + -16) (6 + 6x) + -2(x + -3) = 10 + -1(3x + -16) Reorder the terms: 6 + 6x + -2(-3 + x) = 10 + -1(3x + -16) 6 + 6x + (-3 * -2 + x * -2) = 10 + -1(3x + -16) 6 + 6x + (6 + -2x) = 10 + -1(3x + -16) Reorder the terms: 6 + 6 + 6x + -2x = 10 + -1(3x + -16) Combine like terms: 6 + 6 = 12 12 + 6x + -2x = 10 + -1(3x + -16) Combine like terms: 6x + -2x = 4x 12 + 4x = 10 + -1(3x + -16) Reorder the terms: 12 + 4x = 10 + -1(-16 + 3x) 12 + 4x = 10 + (-16 * -1 + 3x * -1) 12 + 4x = 10 + (16 + -3x) Combine like terms: 10 + 16 = 26 12 + 4x = 26 + -3x Solving 12 + 4x = 26 + -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. 12 + 4x + 3x = 26 + -3x + 3x Combine like terms: 4x + 3x = 7x 12 + 7x = 26 + -3x + 3x Combine like terms: -3x + 3x = 0 12 + 7x = 26 + 0 12 + 7x = 26 Add '-12' to each side of the equation. 12 + -12 + 7x = 26 + -12 Combine like terms: 12 + -12 = 0 0 + 7x = 26 + -12 7x = 26 + -12 Combine like terms: 26 + -12 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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