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Simplifying 5x + 4(x + -3) + 6 = -2(x + -1) + 4x + 8 Reorder the terms: 5x + 4(-3 + x) + 6 = -2(x + -1) + 4x + 8 5x + (-3 * 4 + x * 4) + 6 = -2(x + -1) + 4x + 8 5x + (-12 + 4x) + 6 = -2(x + -1) + 4x + 8 Reorder the terms: -12 + 6 + 5x + 4x = -2(x + -1) + 4x + 8 Combine like terms: -12 + 6 = -6 -6 + 5x + 4x = -2(x + -1) + 4x + 8 Combine like terms: 5x + 4x = 9x -6 + 9x = -2(x + -1) + 4x + 8 Reorder the terms: -6 + 9x = -2(-1 + x) + 4x + 8 -6 + 9x = (-1 * -2 + x * -2) + 4x + 8 -6 + 9x = (2 + -2x) + 4x + 8 Reorder the terms: -6 + 9x = 2 + 8 + -2x + 4x Combine like terms: 2 + 8 = 10 -6 + 9x = 10 + -2x + 4x Combine like terms: -2x + 4x = 2x -6 + 9x = 10 + 2x Solving -6 + 9x = 10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -6 + 9x + -2x = 10 + 2x + -2x Combine like terms: 9x + -2x = 7x -6 + 7x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 7x = 10 + 0 -6 + 7x = 10 Add '6' to each side of the equation. -6 + 6 + 7x = 10 + 6 Combine like terms: -6 + 6 = 0 0 + 7x = 10 + 6 7x = 10 + 6 Combine like terms: 10 + 6 = 16 7x = 16 Divide each side by '7'. x = 2.285714286 Simplifying x = 2.285714286
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