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Simplifying 4 + 5(3x + -2) = -2(-1x + 6) + -1 Reorder the terms: 4 + 5(-2 + 3x) = -2(-1x + 6) + -1 4 + (-2 * 5 + 3x * 5) = -2(-1x + 6) + -1 4 + (-10 + 15x) = -2(-1x + 6) + -1 Combine like terms: 4 + -10 = -6 -6 + 15x = -2(-1x + 6) + -1 Reorder the terms: -6 + 15x = -2(6 + -1x) + -1 -6 + 15x = (6 * -2 + -1x * -2) + -1 -6 + 15x = (-12 + 2x) + -1 Reorder the terms: -6 + 15x = -12 + -1 + 2x Combine like terms: -12 + -1 = -13 -6 + 15x = -13 + 2x Solving -6 + 15x = -13 + 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. -6 + 15x + -2x = -13 + 2x + -2x Combine like terms: 15x + -2x = 13x -6 + 13x = -13 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 13x = -13 + 0 -6 + 13x = -13 Add '6' to each side of the equation. -6 + 6 + 13x = -13 + 6 Combine like terms: -6 + 6 = 0 0 + 13x = -13 + 6 13x = -13 + 6 Combine like terms: -13 + 6 = -7 13x = -7 Divide each side by '13'. x = -0.5384615385 Simplifying x = -0.5384615385
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