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Simplifying 5(x + -2) + -2(3x + 1) = 4(1 + -2x) + x Reorder the terms: 5(-2 + x) + -2(3x + 1) = 4(1 + -2x) + x (-2 * 5 + x * 5) + -2(3x + 1) = 4(1 + -2x) + x (-10 + 5x) + -2(3x + 1) = 4(1 + -2x) + x Reorder the terms: -10 + 5x + -2(1 + 3x) = 4(1 + -2x) + x -10 + 5x + (1 * -2 + 3x * -2) = 4(1 + -2x) + x -10 + 5x + (-2 + -6x) = 4(1 + -2x) + x Reorder the terms: -10 + -2 + 5x + -6x = 4(1 + -2x) + x Combine like terms: -10 + -2 = -12 -12 + 5x + -6x = 4(1 + -2x) + x Combine like terms: 5x + -6x = -1x -12 + -1x = 4(1 + -2x) + x -12 + -1x = (1 * 4 + -2x * 4) + x -12 + -1x = (4 + -8x) + x Combine like terms: -8x + x = -7x -12 + -1x = 4 + -7x Solving -12 + -1x = 4 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -12 + -1x + 7x = 4 + -7x + 7x Combine like terms: -1x + 7x = 6x -12 + 6x = 4 + -7x + 7x Combine like terms: -7x + 7x = 0 -12 + 6x = 4 + 0 -12 + 6x = 4 Add '12' to each side of the equation. -12 + 12 + 6x = 4 + 12 Combine like terms: -12 + 12 = 0 0 + 6x = 4 + 12 6x = 4 + 12 Combine like terms: 4 + 12 = 16 6x = 16 Divide each side by '6'. x = 2.666666667 Simplifying x = 2.666666667
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