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Simplifying 5x + 2(4x + -3) = 6(x + -2) + -29 Reorder the terms: 5x + 2(-3 + 4x) = 6(x + -2) + -29 5x + (-3 * 2 + 4x * 2) = 6(x + -2) + -29 5x + (-6 + 8x) = 6(x + -2) + -29 Reorder the terms: -6 + 5x + 8x = 6(x + -2) + -29 Combine like terms: 5x + 8x = 13x -6 + 13x = 6(x + -2) + -29 Reorder the terms: -6 + 13x = 6(-2 + x) + -29 -6 + 13x = (-2 * 6 + x * 6) + -29 -6 + 13x = (-12 + 6x) + -29 Reorder the terms: -6 + 13x = -12 + -29 + 6x Combine like terms: -12 + -29 = -41 -6 + 13x = -41 + 6x Solving -6 + 13x = -41 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -6 + 13x + -6x = -41 + 6x + -6x Combine like terms: 13x + -6x = 7x -6 + 7x = -41 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + 7x = -41 + 0 -6 + 7x = -41 Add '6' to each side of the equation. -6 + 6 + 7x = -41 + 6 Combine like terms: -6 + 6 = 0 0 + 7x = -41 + 6 7x = -41 + 6 Combine like terms: -41 + 6 = -35 7x = -35 Divide each side by '7'. x = -5 Simplifying x = -5
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