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Simplifying 4(x + -1) + 5x = 6x + -10 Reorder the terms: 4(-1 + x) + 5x = 6x + -10 (-1 * 4 + x * 4) + 5x = 6x + -10 (-4 + 4x) + 5x = 6x + -10 Combine like terms: 4x + 5x = 9x -4 + 9x = 6x + -10 Reorder the terms: -4 + 9x = -10 + 6x Solving -4 + 9x = -10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -4 + 9x + -6x = -10 + 6x + -6x Combine like terms: 9x + -6x = 3x -4 + 3x = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + 3x = -10 + 0 -4 + 3x = -10 Add '4' to each side of the equation. -4 + 4 + 3x = -10 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = -10 + 4 3x = -10 + 4 Combine like terms: -10 + 4 = -6 3x = -6 Divide each side by '3'. x = -2 Simplifying x = -2
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