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Simplifying 3(0.6666667x + 1) + 4 = -1 + -4(x + 3) Reorder the terms: 3(1 + 0.6666667x) + 4 = -1 + -4(x + 3) (1 * 3 + 0.6666667x * 3) + 4 = -1 + -4(x + 3) (3 + 2.0000001x) + 4 = -1 + -4(x + 3) Reorder the terms: 3 + 4 + 2.0000001x = -1 + -4(x + 3) Combine like terms: 3 + 4 = 7 7 + 2.0000001x = -1 + -4(x + 3) Reorder the terms: 7 + 2.0000001x = -1 + -4(3 + x) 7 + 2.0000001x = -1 + (3 * -4 + x * -4) 7 + 2.0000001x = -1 + (-12 + -4x) Combine like terms: -1 + -12 = -13 7 + 2.0000001x = -13 + -4x Solving 7 + 2.0000001x = -13 + -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. 7 + 2.0000001x + 4x = -13 + -4x + 4x Combine like terms: 2.0000001x + 4x = 6.0000001x 7 + 6.0000001x = -13 + -4x + 4x Combine like terms: -4x + 4x = 0 7 + 6.0000001x = -13 + 0 7 + 6.0000001x = -13 Add '-7' to each side of the equation. 7 + -7 + 6.0000001x = -13 + -7 Combine like terms: 7 + -7 = 0 0 + 6.0000001x = -13 + -7 6.0000001x = -13 + -7 Combine like terms: -13 + -7 = -20 6.0000001x = -20 Divide each side by '6.0000001'. x = -3.333333278 Simplifying x = -3.333333278
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