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Simplifying 4x + -3(20 + -1x) = 6x + -7(9 + -1x) 4x + (20 * -3 + -1x * -3) = 6x + -7(9 + -1x) 4x + (-60 + 3x) = 6x + -7(9 + -1x) Reorder the terms: -60 + 4x + 3x = 6x + -7(9 + -1x) Combine like terms: 4x + 3x = 7x -60 + 7x = 6x + -7(9 + -1x) -60 + 7x = 6x + (9 * -7 + -1x * -7) -60 + 7x = 6x + (-63 + 7x) Reorder the terms: -60 + 7x = -63 + 6x + 7x Combine like terms: 6x + 7x = 13x -60 + 7x = -63 + 13x Solving -60 + 7x = -63 + 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. -60 + 7x + -13x = -63 + 13x + -13x Combine like terms: 7x + -13x = -6x -60 + -6x = -63 + 13x + -13x Combine like terms: 13x + -13x = 0 -60 + -6x = -63 + 0 -60 + -6x = -63 Add '60' to each side of the equation. -60 + 60 + -6x = -63 + 60 Combine like terms: -60 + 60 = 0 0 + -6x = -63 + 60 -6x = -63 + 60 Combine like terms: -63 + 60 = -3 -6x = -3 Divide each side by '-6'. x = 0.5 Simplifying x = 0.5
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