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Simplifying 4(5x + -3) + 49 = 16x + 1 Reorder the terms: 4(-3 + 5x) + 49 = 16x + 1 (-3 * 4 + 5x * 4) + 49 = 16x + 1 (-12 + 20x) + 49 = 16x + 1 Reorder the terms: -12 + 49 + 20x = 16x + 1 Combine like terms: -12 + 49 = 37 37 + 20x = 16x + 1 Reorder the terms: 37 + 20x = 1 + 16x Solving 37 + 20x = 1 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 37 + 20x + -16x = 1 + 16x + -16x Combine like terms: 20x + -16x = 4x 37 + 4x = 1 + 16x + -16x Combine like terms: 16x + -16x = 0 37 + 4x = 1 + 0 37 + 4x = 1 Add '-37' to each side of the equation. 37 + -37 + 4x = 1 + -37 Combine like terms: 37 + -37 = 0 0 + 4x = 1 + -37 4x = 1 + -37 Combine like terms: 1 + -37 = -36 4x = -36 Divide each side by '4'. x = -9 Simplifying x = -9
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