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Simplifying 4 + 3(5x + -4) = 8 + -4(2x + 1) Reorder the terms: 4 + 3(-4 + 5x) = 8 + -4(2x + 1) 4 + (-4 * 3 + 5x * 3) = 8 + -4(2x + 1) 4 + (-12 + 15x) = 8 + -4(2x + 1) Combine like terms: 4 + -12 = -8 -8 + 15x = 8 + -4(2x + 1) Reorder the terms: -8 + 15x = 8 + -4(1 + 2x) -8 + 15x = 8 + (1 * -4 + 2x * -4) -8 + 15x = 8 + (-4 + -8x) Combine like terms: 8 + -4 = 4 -8 + 15x = 4 + -8x Solving -8 + 15x = 4 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -8 + 15x + 8x = 4 + -8x + 8x Combine like terms: 15x + 8x = 23x -8 + 23x = 4 + -8x + 8x Combine like terms: -8x + 8x = 0 -8 + 23x = 4 + 0 -8 + 23x = 4 Add '8' to each side of the equation. -8 + 8 + 23x = 4 + 8 Combine like terms: -8 + 8 = 0 0 + 23x = 4 + 8 23x = 4 + 8 Combine like terms: 4 + 8 = 12 23x = 12 Divide each side by '23'. x = 0.5217391304 Simplifying x = 0.5217391304
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