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Simplifying 5 + -4(2x + 3) = 5(x + -2) + 8 Reorder the terms: 5 + -4(3 + 2x) = 5(x + -2) + 8 5 + (3 * -4 + 2x * -4) = 5(x + -2) + 8 5 + (-12 + -8x) = 5(x + -2) + 8 Combine like terms: 5 + -12 = -7 -7 + -8x = 5(x + -2) + 8 Reorder the terms: -7 + -8x = 5(-2 + x) + 8 -7 + -8x = (-2 * 5 + x * 5) + 8 -7 + -8x = (-10 + 5x) + 8 Reorder the terms: -7 + -8x = -10 + 8 + 5x Combine like terms: -10 + 8 = -2 -7 + -8x = -2 + 5x Solving -7 + -8x = -2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -7 + -8x + -5x = -2 + 5x + -5x Combine like terms: -8x + -5x = -13x -7 + -13x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 + -13x = -2 + 0 -7 + -13x = -2 Add '7' to each side of the equation. -7 + 7 + -13x = -2 + 7 Combine like terms: -7 + 7 = 0 0 + -13x = -2 + 7 -13x = -2 + 7 Combine like terms: -2 + 7 = 5 -13x = 5 Divide each side by '-13'. x = -0.3846153846 Simplifying x = -0.3846153846
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