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Simplifying 4(x + 1) + 3x = 2(x + -6) + 2 Reorder the terms: 4(1 + x) + 3x = 2(x + -6) + 2 (1 * 4 + x * 4) + 3x = 2(x + -6) + 2 (4 + 4x) + 3x = 2(x + -6) + 2 Combine like terms: 4x + 3x = 7x 4 + 7x = 2(x + -6) + 2 Reorder the terms: 4 + 7x = 2(-6 + x) + 2 4 + 7x = (-6 * 2 + x * 2) + 2 4 + 7x = (-12 + 2x) + 2 Reorder the terms: 4 + 7x = -12 + 2 + 2x Combine like terms: -12 + 2 = -10 4 + 7x = -10 + 2x Solving 4 + 7x = -10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 4 + 7x + -2x = -10 + 2x + -2x Combine like terms: 7x + -2x = 5x 4 + 5x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + 5x = -10 + 0 4 + 5x = -10 Add '-4' to each side of the equation. 4 + -4 + 5x = -10 + -4 Combine like terms: 4 + -4 = 0 0 + 5x = -10 + -4 5x = -10 + -4 Combine like terms: -10 + -4 = -14 5x = -14 Divide each side by '5'. x = -2.8 Simplifying x = -2.8
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