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Simplifying 8(-2x + 5) + 7 = -6x + -43 Reorder the terms: 8(5 + -2x) + 7 = -6x + -43 (5 * 8 + -2x * 8) + 7 = -6x + -43 (40 + -16x) + 7 = -6x + -43 Reorder the terms: 40 + 7 + -16x = -6x + -43 Combine like terms: 40 + 7 = 47 47 + -16x = -6x + -43 Reorder the terms: 47 + -16x = -43 + -6x Solving 47 + -16x = -43 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 47 + -16x + 6x = -43 + -6x + 6x Combine like terms: -16x + 6x = -10x 47 + -10x = -43 + -6x + 6x Combine like terms: -6x + 6x = 0 47 + -10x = -43 + 0 47 + -10x = -43 Add '-47' to each side of the equation. 47 + -47 + -10x = -43 + -47 Combine like terms: 47 + -47 = 0 0 + -10x = -43 + -47 -10x = -43 + -47 Combine like terms: -43 + -47 = -90 -10x = -90 Divide each side by '-10'. x = 9 Simplifying x = 9
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