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Simplifying 3(2x + -3) + 4 = 6x + 4(3x + -5) Reorder the terms: 3(-3 + 2x) + 4 = 6x + 4(3x + -5) (-3 * 3 + 2x * 3) + 4 = 6x + 4(3x + -5) (-9 + 6x) + 4 = 6x + 4(3x + -5) Reorder the terms: -9 + 4 + 6x = 6x + 4(3x + -5) Combine like terms: -9 + 4 = -5 -5 + 6x = 6x + 4(3x + -5) Reorder the terms: -5 + 6x = 6x + 4(-5 + 3x) -5 + 6x = 6x + (-5 * 4 + 3x * 4) -5 + 6x = 6x + (-20 + 12x) Reorder the terms: -5 + 6x = -20 + 6x + 12x Combine like terms: 6x + 12x = 18x -5 + 6x = -20 + 18x Solving -5 + 6x = -20 + 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. -5 + 6x + -18x = -20 + 18x + -18x Combine like terms: 6x + -18x = -12x -5 + -12x = -20 + 18x + -18x Combine like terms: 18x + -18x = 0 -5 + -12x = -20 + 0 -5 + -12x = -20 Add '5' to each side of the equation. -5 + 5 + -12x = -20 + 5 Combine like terms: -5 + 5 = 0 0 + -12x = -20 + 5 -12x = -20 + 5 Combine like terms: -20 + 5 = -15 -12x = -15 Divide each side by '-12'. x = 1.25 Simplifying x = 1.25
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