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Simplifying 2(x + -5) + 3(x + -1) = 4x + -6 Reorder the terms: 2(-5 + x) + 3(x + -1) = 4x + -6 (-5 * 2 + x * 2) + 3(x + -1) = 4x + -6 (-10 + 2x) + 3(x + -1) = 4x + -6 Reorder the terms: -10 + 2x + 3(-1 + x) = 4x + -6 -10 + 2x + (-1 * 3 + x * 3) = 4x + -6 -10 + 2x + (-3 + 3x) = 4x + -6 Reorder the terms: -10 + -3 + 2x + 3x = 4x + -6 Combine like terms: -10 + -3 = -13 -13 + 2x + 3x = 4x + -6 Combine like terms: 2x + 3x = 5x -13 + 5x = 4x + -6 Reorder the terms: -13 + 5x = -6 + 4x Solving -13 + 5x = -6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -13 + 5x + -4x = -6 + 4x + -4x Combine like terms: 5x + -4x = 1x -13 + 1x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 -13 + 1x = -6 + 0 -13 + 1x = -6 Add '13' to each side of the equation. -13 + 13 + 1x = -6 + 13 Combine like terms: -13 + 13 = 0 0 + 1x = -6 + 13 1x = -6 + 13 Combine like terms: -6 + 13 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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