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Simplifying 4(x + -1) + 5(x + 4) = 3x + 46 Reorder the terms: 4(-1 + x) + 5(x + 4) = 3x + 46 (-1 * 4 + x * 4) + 5(x + 4) = 3x + 46 (-4 + 4x) + 5(x + 4) = 3x + 46 Reorder the terms: -4 + 4x + 5(4 + x) = 3x + 46 -4 + 4x + (4 * 5 + x * 5) = 3x + 46 -4 + 4x + (20 + 5x) = 3x + 46 Reorder the terms: -4 + 20 + 4x + 5x = 3x + 46 Combine like terms: -4 + 20 = 16 16 + 4x + 5x = 3x + 46 Combine like terms: 4x + 5x = 9x 16 + 9x = 3x + 46 Reorder the terms: 16 + 9x = 46 + 3x Solving 16 + 9x = 46 + 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. 16 + 9x + -3x = 46 + 3x + -3x Combine like terms: 9x + -3x = 6x 16 + 6x = 46 + 3x + -3x Combine like terms: 3x + -3x = 0 16 + 6x = 46 + 0 16 + 6x = 46 Add '-16' to each side of the equation. 16 + -16 + 6x = 46 + -16 Combine like terms: 16 + -16 = 0 0 + 6x = 46 + -16 6x = 46 + -16 Combine like terms: 46 + -16 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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