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Simplifying 40 + 5x = 3(-1x + 6) + -34 Reorder the terms: 40 + 5x = 3(6 + -1x) + -34 40 + 5x = (6 * 3 + -1x * 3) + -34 40 + 5x = (18 + -3x) + -34 Reorder the terms: 40 + 5x = 18 + -34 + -3x Combine like terms: 18 + -34 = -16 40 + 5x = -16 + -3x Solving 40 + 5x = -16 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 40 + 5x + 3x = -16 + -3x + 3x Combine like terms: 5x + 3x = 8x 40 + 8x = -16 + -3x + 3x Combine like terms: -3x + 3x = 0 40 + 8x = -16 + 0 40 + 8x = -16 Add '-40' to each side of the equation. 40 + -40 + 8x = -16 + -40 Combine like terms: 40 + -40 = 0 0 + 8x = -16 + -40 8x = -16 + -40 Combine like terms: -16 + -40 = -56 8x = -56 Divide each side by '8'. x = -7 Simplifying x = -7
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