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Simplifying 7 + -6(x + -1) + 3 + -4x = 7 + (7x + -4) Reorder the terms: 7 + -6(-1 + x) + 3 + -4x = 7 + (7x + -4) 7 + (-1 * -6 + x * -6) + 3 + -4x = 7 + (7x + -4) 7 + (6 + -6x) + 3 + -4x = 7 + (7x + -4) Reorder the terms: 7 + 6 + 3 + -6x + -4x = 7 + (7x + -4) Combine like terms: 7 + 6 = 13 13 + 3 + -6x + -4x = 7 + (7x + -4) Combine like terms: 13 + 3 = 16 16 + -6x + -4x = 7 + (7x + -4) Combine like terms: -6x + -4x = -10x 16 + -10x = 7 + (7x + -4) Reorder the terms: 16 + -10x = 7 + (-4 + 7x) Remove parenthesis around (-4 + 7x) 16 + -10x = 7 + -4 + 7x Combine like terms: 7 + -4 = 3 16 + -10x = 3 + 7x Solving 16 + -10x = 3 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 16 + -10x + -7x = 3 + 7x + -7x Combine like terms: -10x + -7x = -17x 16 + -17x = 3 + 7x + -7x Combine like terms: 7x + -7x = 0 16 + -17x = 3 + 0 16 + -17x = 3 Add '-16' to each side of the equation. 16 + -16 + -17x = 3 + -16 Combine like terms: 16 + -16 = 0 0 + -17x = 3 + -16 -17x = 3 + -16 Combine like terms: 3 + -16 = -13 -17x = -13 Divide each side by '-17'. x = 0.7647058824 Simplifying x = 0.7647058824
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