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Simplifying -4x + 3(-5x + 19) = -114 Reorder the terms: -4x + 3(19 + -5x) = -114 -4x + (19 * 3 + -5x * 3) = -114 -4x + (57 + -15x) = -114 Reorder the terms: 57 + -4x + -15x = -114 Combine like terms: -4x + -15x = -19x 57 + -19x = -114 Solving 57 + -19x = -114 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-57' to each side of the equation. 57 + -57 + -19x = -114 + -57 Combine like terms: 57 + -57 = 0 0 + -19x = -114 + -57 -19x = -114 + -57 Combine like terms: -114 + -57 = -171 -19x = -171 Divide each side by '-19'. x = 9 Simplifying x = 9
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