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