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Simplifying 7x + -3(2x + -1) + 4 = 6x + -3(x + 1) Reorder the terms: 7x + -3(-1 + 2x) + 4 = 6x + -3(x + 1) 7x + (-1 * -3 + 2x * -3) + 4 = 6x + -3(x + 1) 7x + (3 + -6x) + 4 = 6x + -3(x + 1) Reorder the terms: 3 + 4 + 7x + -6x = 6x + -3(x + 1) Combine like terms: 3 + 4 = 7 7 + 7x + -6x = 6x + -3(x + 1) Combine like terms: 7x + -6x = 1x 7 + 1x = 6x + -3(x + 1) Reorder the terms: 7 + 1x = 6x + -3(1 + x) 7 + 1x = 6x + (1 * -3 + x * -3) 7 + 1x = 6x + (-3 + -3x) Reorder the terms: 7 + 1x = -3 + 6x + -3x Combine like terms: 6x + -3x = 3x 7 + 1x = -3 + 3x Solving 7 + 1x = -3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 7 + 1x + -3x = -3 + 3x + -3x Combine like terms: 1x + -3x = -2x 7 + -2x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 7 + -2x = -3 + 0 7 + -2x = -3 Add '-7' to each side of the equation. 7 + -7 + -2x = -3 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = -3 + -7 -2x = -3 + -7 Combine like terms: -3 + -7 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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