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Simplifying 4(3x + -1) = 10(3x + -4) Reorder the terms: 4(-1 + 3x) = 10(3x + -4) (-1 * 4 + 3x * 4) = 10(3x + -4) (-4 + 12x) = 10(3x + -4) Reorder the terms: -4 + 12x = 10(-4 + 3x) -4 + 12x = (-4 * 10 + 3x * 10) -4 + 12x = (-40 + 30x) Solving -4 + 12x = -40 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -4 + 12x + -30x = -40 + 30x + -30x Combine like terms: 12x + -30x = -18x -4 + -18x = -40 + 30x + -30x Combine like terms: 30x + -30x = 0 -4 + -18x = -40 + 0 -4 + -18x = -40 Add '4' to each side of the equation. -4 + 4 + -18x = -40 + 4 Combine like terms: -4 + 4 = 0 0 + -18x = -40 + 4 -18x = -40 + 4 Combine like terms: -40 + 4 = -36 -18x = -36 Divide each side by '-18'. x = 2 Simplifying x = 2
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