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Simplifying 5(x + -6) + -4(x + 2) = 2 + 3(1 + -2x) Reorder the terms: 5(-6 + x) + -4(x + 2) = 2 + 3(1 + -2x) (-6 * 5 + x * 5) + -4(x + 2) = 2 + 3(1 + -2x) (-30 + 5x) + -4(x + 2) = 2 + 3(1 + -2x) Reorder the terms: -30 + 5x + -4(2 + x) = 2 + 3(1 + -2x) -30 + 5x + (2 * -4 + x * -4) = 2 + 3(1 + -2x) -30 + 5x + (-8 + -4x) = 2 + 3(1 + -2x) Reorder the terms: -30 + -8 + 5x + -4x = 2 + 3(1 + -2x) Combine like terms: -30 + -8 = -38 -38 + 5x + -4x = 2 + 3(1 + -2x) Combine like terms: 5x + -4x = 1x -38 + 1x = 2 + 3(1 + -2x) -38 + 1x = 2 + (1 * 3 + -2x * 3) -38 + 1x = 2 + (3 + -6x) Combine like terms: 2 + 3 = 5 -38 + 1x = 5 + -6x Solving -38 + 1x = 5 + -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. -38 + 1x + 6x = 5 + -6x + 6x Combine like terms: 1x + 6x = 7x -38 + 7x = 5 + -6x + 6x Combine like terms: -6x + 6x = 0 -38 + 7x = 5 + 0 -38 + 7x = 5 Add '38' to each side of the equation. -38 + 38 + 7x = 5 + 38 Combine like terms: -38 + 38 = 0 0 + 7x = 5 + 38 7x = 5 + 38 Combine like terms: 5 + 38 = 43 7x = 43 Divide each side by '7'. x = 6.142857143 Simplifying x = 6.142857143
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