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Simplifying -5(3x + -3) = 2(x + -3) + -47 Reorder the terms: -5(-3 + 3x) = 2(x + -3) + -47 (-3 * -5 + 3x * -5) = 2(x + -3) + -47 (15 + -15x) = 2(x + -3) + -47 Reorder the terms: 15 + -15x = 2(-3 + x) + -47 15 + -15x = (-3 * 2 + x * 2) + -47 15 + -15x = (-6 + 2x) + -47 Reorder the terms: 15 + -15x = -6 + -47 + 2x Combine like terms: -6 + -47 = -53 15 + -15x = -53 + 2x Solving 15 + -15x = -53 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 15 + -15x + -2x = -53 + 2x + -2x Combine like terms: -15x + -2x = -17x 15 + -17x = -53 + 2x + -2x Combine like terms: 2x + -2x = 0 15 + -17x = -53 + 0 15 + -17x = -53 Add '-15' to each side of the equation. 15 + -15 + -17x = -53 + -15 Combine like terms: 15 + -15 = 0 0 + -17x = -53 + -15 -17x = -53 + -15 Combine like terms: -53 + -15 = -68 -17x = -68 Divide each side by '-17'. x = 4 Simplifying x = 4
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