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Simplifying 8 + -1(x + -4) = 7(x + -3) Reorder the terms: 8 + -1(-4 + x) = 7(x + -3) 8 + (-4 * -1 + x * -1) = 7(x + -3) 8 + (4 + -1x) = 7(x + -3) Combine like terms: 8 + 4 = 12 12 + -1x = 7(x + -3) Reorder the terms: 12 + -1x = 7(-3 + x) 12 + -1x = (-3 * 7 + x * 7) 12 + -1x = (-21 + 7x) Solving 12 + -1x = -21 + 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 + -1x + -7x = -21 + 7x + -7x Combine like terms: -1x + -7x = -8x 12 + -8x = -21 + 7x + -7x Combine like terms: 7x + -7x = 0 12 + -8x = -21 + 0 12 + -8x = -21 Add '-12' to each side of the equation. 12 + -12 + -8x = -21 + -12 Combine like terms: 12 + -12 = 0 0 + -8x = -21 + -12 -8x = -21 + -12 Combine like terms: -21 + -12 = -33 -8x = -33 Divide each side by '-8'. x = 4.125 Simplifying x = 4.125
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