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Simplifying 2 + 3(5x + -4) = 5 + -4(2x + 1) Reorder the terms: 2 + 3(-4 + 5x) = 5 + -4(2x + 1) 2 + (-4 * 3 + 5x * 3) = 5 + -4(2x + 1) 2 + (-12 + 15x) = 5 + -4(2x + 1) Combine like terms: 2 + -12 = -10 -10 + 15x = 5 + -4(2x + 1) Reorder the terms: -10 + 15x = 5 + -4(1 + 2x) -10 + 15x = 5 + (1 * -4 + 2x * -4) -10 + 15x = 5 + (-4 + -8x) Combine like terms: 5 + -4 = 1 -10 + 15x = 1 + -8x Solving -10 + 15x = 1 + -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. -10 + 15x + 8x = 1 + -8x + 8x Combine like terms: 15x + 8x = 23x -10 + 23x = 1 + -8x + 8x Combine like terms: -8x + 8x = 0 -10 + 23x = 1 + 0 -10 + 23x = 1 Add '10' to each side of the equation. -10 + 10 + 23x = 1 + 10 Combine like terms: -10 + 10 = 0 0 + 23x = 1 + 10 23x = 1 + 10 Combine like terms: 1 + 10 = 11 23x = 11 Divide each side by '23'. x = 0.4782608696 Simplifying x = 0.4782608696
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