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Simplifying 1 + 6(x + -8) = 7 + -2(x + -4) Reorder the terms: 1 + 6(-8 + x) = 7 + -2(x + -4) 1 + (-8 * 6 + x * 6) = 7 + -2(x + -4) 1 + (-48 + 6x) = 7 + -2(x + -4) Combine like terms: 1 + -48 = -47 -47 + 6x = 7 + -2(x + -4) Reorder the terms: -47 + 6x = 7 + -2(-4 + x) -47 + 6x = 7 + (-4 * -2 + x * -2) -47 + 6x = 7 + (8 + -2x) Combine like terms: 7 + 8 = 15 -47 + 6x = 15 + -2x Solving -47 + 6x = 15 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -47 + 6x + 2x = 15 + -2x + 2x Combine like terms: 6x + 2x = 8x -47 + 8x = 15 + -2x + 2x Combine like terms: -2x + 2x = 0 -47 + 8x = 15 + 0 -47 + 8x = 15 Add '47' to each side of the equation. -47 + 47 + 8x = 15 + 47 Combine like terms: -47 + 47 = 0 0 + 8x = 15 + 47 8x = 15 + 47 Combine like terms: 15 + 47 = 62 8x = 62 Divide each side by '8'. x = 7.75 Simplifying x = 7.75
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