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Simplifying 3 + 3(5x + -4) = 7 + -4(2x + 1) Reorder the terms: 3 + 3(-4 + 5x) = 7 + -4(2x + 1) 3 + (-4 * 3 + 5x * 3) = 7 + -4(2x + 1) 3 + (-12 + 15x) = 7 + -4(2x + 1) Combine like terms: 3 + -12 = -9 -9 + 15x = 7 + -4(2x + 1) Reorder the terms: -9 + 15x = 7 + -4(1 + 2x) -9 + 15x = 7 + (1 * -4 + 2x * -4) -9 + 15x = 7 + (-4 + -8x) Combine like terms: 7 + -4 = 3 -9 + 15x = 3 + -8x Solving -9 + 15x = 3 + -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. -9 + 15x + 8x = 3 + -8x + 8x Combine like terms: 15x + 8x = 23x -9 + 23x = 3 + -8x + 8x Combine like terms: -8x + 8x = 0 -9 + 23x = 3 + 0 -9 + 23x = 3 Add '9' to each side of the equation. -9 + 9 + 23x = 3 + 9 Combine like terms: -9 + 9 = 0 0 + 23x = 3 + 9 23x = 3 + 9 Combine like terms: 3 + 9 = 12 23x = 12 Divide each side by '23'. x = 0.5217391304 Simplifying x = 0.5217391304
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