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Simplifying -114 = 4x + -3(-5x + -38) Reorder the terms: -114 = 4x + -3(-38 + -5x) -114 = 4x + (-38 * -3 + -5x * -3) -114 = 4x + (114 + 15x) Reorder the terms: -114 = 114 + 4x + 15x Combine like terms: 4x + 15x = 19x -114 = 114 + 19x Solving -114 = 114 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. -114 + -19x = 114 + 19x + -19x Combine like terms: 19x + -19x = 0 -114 + -19x = 114 + 0 -114 + -19x = 114 Add '114' to each side of the equation. -114 + 114 + -19x = 114 + 114 Combine like terms: -114 + 114 = 0 0 + -19x = 114 + 114 -19x = 114 + 114 Combine like terms: 114 + 114 = 228 -19x = 228 Divide each side by '-19'. x = -12 Simplifying x = -12
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