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Simplifying 40 + 3x = 8(-6 + x) + 6x 40 + 3x = (-6 * 8 + x * 8) + 6x 40 + 3x = (-48 + 8x) + 6x Combine like terms: 8x + 6x = 14x 40 + 3x = -48 + 14x Solving 40 + 3x = -48 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 40 + 3x + -14x = -48 + 14x + -14x Combine like terms: 3x + -14x = -11x 40 + -11x = -48 + 14x + -14x Combine like terms: 14x + -14x = 0 40 + -11x = -48 + 0 40 + -11x = -48 Add '-40' to each side of the equation. 40 + -40 + -11x = -48 + -40 Combine like terms: 40 + -40 = 0 0 + -11x = -48 + -40 -11x = -48 + -40 Combine like terms: -48 + -40 = -88 -11x = -88 Divide each side by '-11'. x = 8 Simplifying x = 8
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