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Simplifying 5(3x + -2) = 3(6x + -4) Reorder the terms: 5(-2 + 3x) = 3(6x + -4) (-2 * 5 + 3x * 5) = 3(6x + -4) (-10 + 15x) = 3(6x + -4) Reorder the terms: -10 + 15x = 3(-4 + 6x) -10 + 15x = (-4 * 3 + 6x * 3) -10 + 15x = (-12 + 18x) Solving -10 + 15x = -12 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -10 + 15x + -18x = -12 + 18x + -18x Combine like terms: 15x + -18x = -3x -10 + -3x = -12 + 18x + -18x Combine like terms: 18x + -18x = 0 -10 + -3x = -12 + 0 -10 + -3x = -12 Add '10' to each side of the equation. -10 + 10 + -3x = -12 + 10 Combine like terms: -10 + 10 = 0 0 + -3x = -12 + 10 -3x = -12 + 10 Combine like terms: -12 + 10 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667
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