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Simplifying 5(3x + -2) = 4(x + -3) + 3 Reorder the terms: 5(-2 + 3x) = 4(x + -3) + 3 (-2 * 5 + 3x * 5) = 4(x + -3) + 3 (-10 + 15x) = 4(x + -3) + 3 Reorder the terms: -10 + 15x = 4(-3 + x) + 3 -10 + 15x = (-3 * 4 + x * 4) + 3 -10 + 15x = (-12 + 4x) + 3 Reorder the terms: -10 + 15x = -12 + 3 + 4x Combine like terms: -12 + 3 = -9 -10 + 15x = -9 + 4x Solving -10 + 15x = -9 + 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. -10 + 15x + -4x = -9 + 4x + -4x Combine like terms: 15x + -4x = 11x -10 + 11x = -9 + 4x + -4x Combine like terms: 4x + -4x = 0 -10 + 11x = -9 + 0 -10 + 11x = -9 Add '10' to each side of the equation. -10 + 10 + 11x = -9 + 10 Combine like terms: -10 + 10 = 0 0 + 11x = -9 + 10 11x = -9 + 10 Combine like terms: -9 + 10 = 1 11x = 1 Divide each side by '11'. x = 0.09090909091 Simplifying x = 0.09090909091
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