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Simplifying -3x + 44 = 3(5x + -2) + -4 Reorder the terms: 44 + -3x = 3(5x + -2) + -4 Reorder the terms: 44 + -3x = 3(-2 + 5x) + -4 44 + -3x = (-2 * 3 + 5x * 3) + -4 44 + -3x = (-6 + 15x) + -4 Reorder the terms: 44 + -3x = -6 + -4 + 15x Combine like terms: -6 + -4 = -10 44 + -3x = -10 + 15x Solving 44 + -3x = -10 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 44 + -3x + -15x = -10 + 15x + -15x Combine like terms: -3x + -15x = -18x 44 + -18x = -10 + 15x + -15x Combine like terms: 15x + -15x = 0 44 + -18x = -10 + 0 44 + -18x = -10 Add '-44' to each side of the equation. 44 + -44 + -18x = -10 + -44 Combine like terms: 44 + -44 = 0 0 + -18x = -10 + -44 -18x = -10 + -44 Combine like terms: -10 + -44 = -54 -18x = -54 Divide each side by '-18'. x = 3 Simplifying x = 3
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