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Simplifying 2(x + -4) = 8x + 4 + -3(-3x + -2) Reorder the terms: 2(-4 + x) = 8x + 4 + -3(-3x + -2) (-4 * 2 + x * 2) = 8x + 4 + -3(-3x + -2) (-8 + 2x) = 8x + 4 + -3(-3x + -2) Reorder the terms: -8 + 2x = 8x + 4 + -3(-2 + -3x) -8 + 2x = 8x + 4 + (-2 * -3 + -3x * -3) -8 + 2x = 8x + 4 + (6 + 9x) Reorder the terms: -8 + 2x = 4 + 6 + 8x + 9x Combine like terms: 4 + 6 = 10 -8 + 2x = 10 + 8x + 9x Combine like terms: 8x + 9x = 17x -8 + 2x = 10 + 17x Solving -8 + 2x = 10 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -8 + 2x + -17x = 10 + 17x + -17x Combine like terms: 2x + -17x = -15x -8 + -15x = 10 + 17x + -17x Combine like terms: 17x + -17x = 0 -8 + -15x = 10 + 0 -8 + -15x = 10 Add '8' to each side of the equation. -8 + 8 + -15x = 10 + 8 Combine like terms: -8 + 8 = 0 0 + -15x = 10 + 8 -15x = 10 + 8 Combine like terms: 10 + 8 = 18 -15x = 18 Divide each side by '-15'. x = -1.2 Simplifying x = -1.2
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