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Simplifying -5(3x + -2) = 2(x + -58) + -45 Reorder the terms: -5(-2 + 3x) = 2(x + -58) + -45 (-2 * -5 + 3x * -5) = 2(x + -58) + -45 (10 + -15x) = 2(x + -58) + -45 Reorder the terms: 10 + -15x = 2(-58 + x) + -45 10 + -15x = (-58 * 2 + x * 2) + -45 10 + -15x = (-116 + 2x) + -45 Reorder the terms: 10 + -15x = -116 + -45 + 2x Combine like terms: -116 + -45 = -161 10 + -15x = -161 + 2x Solving 10 + -15x = -161 + 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. 10 + -15x + -2x = -161 + 2x + -2x Combine like terms: -15x + -2x = -17x 10 + -17x = -161 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + -17x = -161 + 0 10 + -17x = -161 Add '-10' to each side of the equation. 10 + -10 + -17x = -161 + -10 Combine like terms: 10 + -10 = 0 0 + -17x = -161 + -10 -17x = -161 + -10 Combine like terms: -161 + -10 = -171 -17x = -171 Divide each side by '-17'. x = 10.05882353 Simplifying x = 10.05882353
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