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