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Simplifying 7x + -4(x + -3) = 6x + -1(8 + -1x) Reorder the terms: 7x + -4(-3 + x) = 6x + -1(8 + -1x) 7x + (-3 * -4 + x * -4) = 6x + -1(8 + -1x) 7x + (12 + -4x) = 6x + -1(8 + -1x) Reorder the terms: 12 + 7x + -4x = 6x + -1(8 + -1x) Combine like terms: 7x + -4x = 3x 12 + 3x = 6x + -1(8 + -1x) 12 + 3x = 6x + (8 * -1 + -1x * -1) 12 + 3x = 6x + (-8 + 1x) Reorder the terms: 12 + 3x = -8 + 6x + 1x Combine like terms: 6x + 1x = 7x 12 + 3x = -8 + 7x Solving 12 + 3x = -8 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 12 + 3x + -7x = -8 + 7x + -7x Combine like terms: 3x + -7x = -4x 12 + -4x = -8 + 7x + -7x Combine like terms: 7x + -7x = 0 12 + -4x = -8 + 0 12 + -4x = -8 Add '-12' to each side of the equation. 12 + -12 + -4x = -8 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = -8 + -12 -4x = -8 + -12 Combine like terms: -8 + -12 = -20 -4x = -20 Divide each side by '-4'. x = 5 Simplifying x = 5
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