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Simplifying 3x + 3 + 4(x + 1) = -2x + 6 Reorder the terms: 3x + 3 + 4(1 + x) = -2x + 6 3x + 3 + (1 * 4 + x * 4) = -2x + 6 3x + 3 + (4 + 4x) = -2x + 6 Reorder the terms: 3 + 4 + 3x + 4x = -2x + 6 Combine like terms: 3 + 4 = 7 7 + 3x + 4x = -2x + 6 Combine like terms: 3x + 4x = 7x 7 + 7x = -2x + 6 Reorder the terms: 7 + 7x = 6 + -2x Solving 7 + 7x = 6 + -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. 7 + 7x + 2x = 6 + -2x + 2x Combine like terms: 7x + 2x = 9x 7 + 9x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 7 + 9x = 6 + 0 7 + 9x = 6 Add '-7' to each side of the equation. 7 + -7 + 9x = 6 + -7 Combine like terms: 7 + -7 = 0 0 + 9x = 6 + -7 9x = 6 + -7 Combine like terms: 6 + -7 = -1 9x = -1 Divide each side by '9'. x = -0.1111111111 Simplifying x = -0.1111111111
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