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Simplifying 5 + 3(5x + -4) = 8 + -4(2x + 1) Reorder the terms: 5 + 3(-4 + 5x) = 8 + -4(2x + 1) 5 + (-4 * 3 + 5x * 3) = 8 + -4(2x + 1) 5 + (-12 + 15x) = 8 + -4(2x + 1) Combine like terms: 5 + -12 = -7 -7 + 15x = 8 + -4(2x + 1) Reorder the terms: -7 + 15x = 8 + -4(1 + 2x) -7 + 15x = 8 + (1 * -4 + 2x * -4) -7 + 15x = 8 + (-4 + -8x) Combine like terms: 8 + -4 = 4 -7 + 15x = 4 + -8x Solving -7 + 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. -7 + 15x + 8x = 4 + -8x + 8x Combine like terms: 15x + 8x = 23x -7 + 23x = 4 + -8x + 8x Combine like terms: -8x + 8x = 0 -7 + 23x = 4 + 0 -7 + 23x = 4 Add '7' to each side of the equation. -7 + 7 + 23x = 4 + 7 Combine like terms: -7 + 7 = 0 0 + 23x = 4 + 7 23x = 4 + 7 Combine like terms: 4 + 7 = 11 23x = 11 Divide each side by '23'. x = 0.4782608696 Simplifying x = 0.4782608696
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