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Simplifying 4(3x + -4) + 10 = 5(x + -1) + -1(2x + 2) Reorder the terms: 4(-4 + 3x) + 10 = 5(x + -1) + -1(2x + 2) (-4 * 4 + 3x * 4) + 10 = 5(x + -1) + -1(2x + 2) (-16 + 12x) + 10 = 5(x + -1) + -1(2x + 2) Reorder the terms: -16 + 10 + 12x = 5(x + -1) + -1(2x + 2) Combine like terms: -16 + 10 = -6 -6 + 12x = 5(x + -1) + -1(2x + 2) Reorder the terms: -6 + 12x = 5(-1 + x) + -1(2x + 2) -6 + 12x = (-1 * 5 + x * 5) + -1(2x + 2) -6 + 12x = (-5 + 5x) + -1(2x + 2) Reorder the terms: -6 + 12x = -5 + 5x + -1(2 + 2x) -6 + 12x = -5 + 5x + (2 * -1 + 2x * -1) -6 + 12x = -5 + 5x + (-2 + -2x) Reorder the terms: -6 + 12x = -5 + -2 + 5x + -2x Combine like terms: -5 + -2 = -7 -6 + 12x = -7 + 5x + -2x Combine like terms: 5x + -2x = 3x -6 + 12x = -7 + 3x Solving -6 + 12x = -7 + 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. -6 + 12x + -3x = -7 + 3x + -3x Combine like terms: 12x + -3x = 9x -6 + 9x = -7 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + 9x = -7 + 0 -6 + 9x = -7 Add '6' to each side of the equation. -6 + 6 + 9x = -7 + 6 Combine like terms: -6 + 6 = 0 0 + 9x = -7 + 6 9x = -7 + 6 Combine like terms: -7 + 6 = -1 9x = -1 Divide each side by '9'. x = -0.1111111111 Simplifying x = -0.1111111111
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