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Simplifying -3(4x + -6) + 11x + 22 + -4(4x + 9) + -10 + 4x = -40 Reorder the terms: -3(-6 + 4x) + 11x + 22 + -4(4x + 9) + -10 + 4x = -40 (-6 * -3 + 4x * -3) + 11x + 22 + -4(4x + 9) + -10 + 4x = -40 (18 + -12x) + 11x + 22 + -4(4x + 9) + -10 + 4x = -40 Reorder the terms: 18 + -12x + 11x + 22 + -4(9 + 4x) + -10 + 4x = -40 18 + -12x + 11x + 22 + (9 * -4 + 4x * -4) + -10 + 4x = -40 18 + -12x + 11x + 22 + (-36 + -16x) + -10 + 4x = -40 Reorder the terms: 18 + 22 + -36 + -10 + -12x + 11x + -16x + 4x = -40 Combine like terms: 18 + 22 = 40 40 + -36 + -10 + -12x + 11x + -16x + 4x = -40 Combine like terms: 40 + -36 = 4 4 + -10 + -12x + 11x + -16x + 4x = -40 Combine like terms: 4 + -10 = -6 -6 + -12x + 11x + -16x + 4x = -40 Combine like terms: -12x + 11x = -1x -6 + -1x + -16x + 4x = -40 Combine like terms: -1x + -16x = -17x -6 + -17x + 4x = -40 Combine like terms: -17x + 4x = -13x -6 + -13x = -40 Solving -6 + -13x = -40 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -13x = -40 + 6 Combine like terms: -6 + 6 = 0 0 + -13x = -40 + 6 -13x = -40 + 6 Combine like terms: -40 + 6 = -34 -13x = -34 Divide each side by '-13'. x = 2.615384615 Simplifying x = 2.615384615
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