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Simplifying 3(5x + -7) = 4(x + -3) Reorder the terms: 3(-7 + 5x) = 4(x + -3) (-7 * 3 + 5x * 3) = 4(x + -3) (-21 + 15x) = 4(x + -3) Reorder the terms: -21 + 15x = 4(-3 + x) -21 + 15x = (-3 * 4 + x * 4) -21 + 15x = (-12 + 4x) Solving -21 + 15x = -12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -21 + 15x + -4x = -12 + 4x + -4x Combine like terms: 15x + -4x = 11x -21 + 11x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 -21 + 11x = -12 + 0 -21 + 11x = -12 Add '21' to each side of the equation. -21 + 21 + 11x = -12 + 21 Combine like terms: -21 + 21 = 0 0 + 11x = -12 + 21 11x = -12 + 21 Combine like terms: -12 + 21 = 9 11x = 9 Divide each side by '11'. x = 0.8181818182 Simplifying x = 0.8181818182
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