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Simplifying 3x + 7 + 2(4x + 3) = 10 + -4(x + 2) + 2 Reorder the terms: 3x + 7 + 2(3 + 4x) = 10 + -4(x + 2) + 2 3x + 7 + (3 * 2 + 4x * 2) = 10 + -4(x + 2) + 2 3x + 7 + (6 + 8x) = 10 + -4(x + 2) + 2 Reorder the terms: 7 + 6 + 3x + 8x = 10 + -4(x + 2) + 2 Combine like terms: 7 + 6 = 13 13 + 3x + 8x = 10 + -4(x + 2) + 2 Combine like terms: 3x + 8x = 11x 13 + 11x = 10 + -4(x + 2) + 2 Reorder the terms: 13 + 11x = 10 + -4(2 + x) + 2 13 + 11x = 10 + (2 * -4 + x * -4) + 2 13 + 11x = 10 + (-8 + -4x) + 2 Reorder the terms: 13 + 11x = 10 + -8 + 2 + -4x Combine like terms: 10 + -8 = 2 13 + 11x = 2 + 2 + -4x Combine like terms: 2 + 2 = 4 13 + 11x = 4 + -4x Solving 13 + 11x = 4 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 13 + 11x + 4x = 4 + -4x + 4x Combine like terms: 11x + 4x = 15x 13 + 15x = 4 + -4x + 4x Combine like terms: -4x + 4x = 0 13 + 15x = 4 + 0 13 + 15x = 4 Add '-13' to each side of the equation. 13 + -13 + 15x = 4 + -13 Combine like terms: 13 + -13 = 0 0 + 15x = 4 + -13 15x = 4 + -13 Combine like terms: 4 + -13 = -9 15x = -9 Divide each side by '15'. x = -0.6 Simplifying x = -0.6
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