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Simplifying 3x + -5(x + -3) = -2 + 4x + -19 Reorder the terms: 3x + -5(-3 + x) = -2 + 4x + -19 3x + (-3 * -5 + x * -5) = -2 + 4x + -19 3x + (15 + -5x) = -2 + 4x + -19 Reorder the terms: 15 + 3x + -5x = -2 + 4x + -19 Combine like terms: 3x + -5x = -2x 15 + -2x = -2 + 4x + -19 Reorder the terms: 15 + -2x = -2 + -19 + 4x Combine like terms: -2 + -19 = -21 15 + -2x = -21 + 4x Solving 15 + -2x = -21 + 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. 15 + -2x + -4x = -21 + 4x + -4x Combine like terms: -2x + -4x = -6x 15 + -6x = -21 + 4x + -4x Combine like terms: 4x + -4x = 0 15 + -6x = -21 + 0 15 + -6x = -21 Add '-15' to each side of the equation. 15 + -15 + -6x = -21 + -15 Combine like terms: 15 + -15 = 0 0 + -6x = -21 + -15 -6x = -21 + -15 Combine like terms: -21 + -15 = -36 -6x = -36 Divide each side by '-6'. x = 6 Simplifying x = 6
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