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Simplifying 6 + -1(2x + -1) = 3x + -1(x + 3) Reorder the terms: 6 + -1(-1 + 2x) = 3x + -1(x + 3) 6 + (-1 * -1 + 2x * -1) = 3x + -1(x + 3) 6 + (1 + -2x) = 3x + -1(x + 3) Combine like terms: 6 + 1 = 7 7 + -2x = 3x + -1(x + 3) Reorder the terms: 7 + -2x = 3x + -1(3 + x) 7 + -2x = 3x + (3 * -1 + x * -1) 7 + -2x = 3x + (-3 + -1x) Reorder the terms: 7 + -2x = -3 + 3x + -1x Combine like terms: 3x + -1x = 2x 7 + -2x = -3 + 2x Solving 7 + -2x = -3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 7 + -2x + -2x = -3 + 2x + -2x Combine like terms: -2x + -2x = -4x 7 + -4x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + -4x = -3 + 0 7 + -4x = -3 Add '-7' to each side of the equation. 7 + -7 + -4x = -3 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = -3 + -7 -4x = -3 + -7 Combine like terms: -3 + -7 = -10 -4x = -10 Divide each side by '-4'. x = 2.5 Simplifying x = 2.5
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