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Simplifying 5(x + -4) = 3(6x + -2) + -10 Reorder the terms: 5(-4 + x) = 3(6x + -2) + -10 (-4 * 5 + x * 5) = 3(6x + -2) + -10 (-20 + 5x) = 3(6x + -2) + -10 Reorder the terms: -20 + 5x = 3(-2 + 6x) + -10 -20 + 5x = (-2 * 3 + 6x * 3) + -10 -20 + 5x = (-6 + 18x) + -10 Reorder the terms: -20 + 5x = -6 + -10 + 18x Combine like terms: -6 + -10 = -16 -20 + 5x = -16 + 18x Solving -20 + 5x = -16 + 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. -20 + 5x + -18x = -16 + 18x + -18x Combine like terms: 5x + -18x = -13x -20 + -13x = -16 + 18x + -18x Combine like terms: 18x + -18x = 0 -20 + -13x = -16 + 0 -20 + -13x = -16 Add '20' to each side of the equation. -20 + 20 + -13x = -16 + 20 Combine like terms: -20 + 20 = 0 0 + -13x = -16 + 20 -13x = -16 + 20 Combine like terms: -16 + 20 = 4 -13x = 4 Divide each side by '-13'. x = -0.3076923077 Simplifying x = -0.3076923077
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