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Simplifying 8(5 + -1x) + 7 = -1 + 6(4x + -8) (5 * 8 + -1x * 8) + 7 = -1 + 6(4x + -8) (40 + -8x) + 7 = -1 + 6(4x + -8) Reorder the terms: 40 + 7 + -8x = -1 + 6(4x + -8) Combine like terms: 40 + 7 = 47 47 + -8x = -1 + 6(4x + -8) Reorder the terms: 47 + -8x = -1 + 6(-8 + 4x) 47 + -8x = -1 + (-8 * 6 + 4x * 6) 47 + -8x = -1 + (-48 + 24x) Combine like terms: -1 + -48 = -49 47 + -8x = -49 + 24x Solving 47 + -8x = -49 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 47 + -8x + -24x = -49 + 24x + -24x Combine like terms: -8x + -24x = -32x 47 + -32x = -49 + 24x + -24x Combine like terms: 24x + -24x = 0 47 + -32x = -49 + 0 47 + -32x = -49 Add '-47' to each side of the equation. 47 + -47 + -32x = -49 + -47 Combine like terms: 47 + -47 = 0 0 + -32x = -49 + -47 -32x = -49 + -47 Combine like terms: -49 + -47 = -96 -32x = -96 Divide each side by '-32'. x = 3 Simplifying x = 3
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