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Simplifying 4 + -1(3 + 5x) = 7x + -2(8 + -3x) 4 + (3 * -1 + 5x * -1) = 7x + -2(8 + -3x) 4 + (-3 + -5x) = 7x + -2(8 + -3x) Combine like terms: 4 + -3 = 1 1 + -5x = 7x + -2(8 + -3x) 1 + -5x = 7x + (8 * -2 + -3x * -2) 1 + -5x = 7x + (-16 + 6x) Reorder the terms: 1 + -5x = -16 + 7x + 6x Combine like terms: 7x + 6x = 13x 1 + -5x = -16 + 13x Solving 1 + -5x = -16 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 1 + -5x + -13x = -16 + 13x + -13x Combine like terms: -5x + -13x = -18x 1 + -18x = -16 + 13x + -13x Combine like terms: 13x + -13x = 0 1 + -18x = -16 + 0 1 + -18x = -16 Add '-1' to each side of the equation. 1 + -1 + -18x = -16 + -1 Combine like terms: 1 + -1 = 0 0 + -18x = -16 + -1 -18x = -16 + -1 Combine like terms: -16 + -1 = -17 -18x = -17 Divide each side by '-18'. x = 0.9444444444 Simplifying x = 0.9444444444
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