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Simplifying 40 + 4x = -6x + 5(1 + 3x) 40 + 4x = -6x + (1 * 5 + 3x * 5) 40 + 4x = -6x + (5 + 15x) Reorder the terms: 40 + 4x = 5 + -6x + 15x Combine like terms: -6x + 15x = 9x 40 + 4x = 5 + 9x Solving 40 + 4x = 5 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 40 + 4x + -9x = 5 + 9x + -9x Combine like terms: 4x + -9x = -5x 40 + -5x = 5 + 9x + -9x Combine like terms: 9x + -9x = 0 40 + -5x = 5 + 0 40 + -5x = 5 Add '-40' to each side of the equation. 40 + -40 + -5x = 5 + -40 Combine like terms: 40 + -40 = 0 0 + -5x = 5 + -40 -5x = 5 + -40 Combine like terms: 5 + -40 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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