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Simplifying -3(2x + -5) + -1x + 1 = -47 Reorder the terms: -3(-5 + 2x) + -1x + 1 = -47 (-5 * -3 + 2x * -3) + -1x + 1 = -47 (15 + -6x) + -1x + 1 = -47 Reorder the terms: 15 + 1 + -6x + -1x = -47 Combine like terms: 15 + 1 = 16 16 + -6x + -1x = -47 Combine like terms: -6x + -1x = -7x 16 + -7x = -47 Solving 16 + -7x = -47 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -7x = -47 + -16 Combine like terms: 16 + -16 = 0 0 + -7x = -47 + -16 -7x = -47 + -16 Combine like terms: -47 + -16 = -63 -7x = -63 Divide each side by '-7'. x = 9 Simplifying x = 9
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