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Simplifying 4(x + 2) = 8x + 3(3x + -2) Reorder the terms: 4(2 + x) = 8x + 3(3x + -2) (2 * 4 + x * 4) = 8x + 3(3x + -2) (8 + 4x) = 8x + 3(3x + -2) Reorder the terms: 8 + 4x = 8x + 3(-2 + 3x) 8 + 4x = 8x + (-2 * 3 + 3x * 3) 8 + 4x = 8x + (-6 + 9x) Reorder the terms: 8 + 4x = -6 + 8x + 9x Combine like terms: 8x + 9x = 17x 8 + 4x = -6 + 17x Solving 8 + 4x = -6 + 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 + 4x + -17x = -6 + 17x + -17x Combine like terms: 4x + -17x = -13x 8 + -13x = -6 + 17x + -17x Combine like terms: 17x + -17x = 0 8 + -13x = -6 + 0 8 + -13x = -6 Add '-8' to each side of the equation. 8 + -8 + -13x = -6 + -8 Combine like terms: 8 + -8 = 0 0 + -13x = -6 + -8 -13x = -6 + -8 Combine like terms: -6 + -8 = -14 -13x = -14 Divide each side by '-13'. x = 1.076923077 Simplifying x = 1.076923077
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