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Simplifying 5x + -1(2x + 6) + 4 = 8x + 4(x + -3) Reorder the terms: 5x + -1(6 + 2x) + 4 = 8x + 4(x + -3) 5x + (6 * -1 + 2x * -1) + 4 = 8x + 4(x + -3) 5x + (-6 + -2x) + 4 = 8x + 4(x + -3) Reorder the terms: -6 + 4 + 5x + -2x = 8x + 4(x + -3) Combine like terms: -6 + 4 = -2 -2 + 5x + -2x = 8x + 4(x + -3) Combine like terms: 5x + -2x = 3x -2 + 3x = 8x + 4(x + -3) Reorder the terms: -2 + 3x = 8x + 4(-3 + x) -2 + 3x = 8x + (-3 * 4 + x * 4) -2 + 3x = 8x + (-12 + 4x) Reorder the terms: -2 + 3x = -12 + 8x + 4x Combine like terms: 8x + 4x = 12x -2 + 3x = -12 + 12x Solving -2 + 3x = -12 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -2 + 3x + -12x = -12 + 12x + -12x Combine like terms: 3x + -12x = -9x -2 + -9x = -12 + 12x + -12x Combine like terms: 12x + -12x = 0 -2 + -9x = -12 + 0 -2 + -9x = -12 Add '2' to each side of the equation. -2 + 2 + -9x = -12 + 2 Combine like terms: -2 + 2 = 0 0 + -9x = -12 + 2 -9x = -12 + 2 Combine like terms: -12 + 2 = -10 -9x = -10 Divide each side by '-9'. x = 1.111111111 Simplifying x = 1.111111111
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