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Simplifying 13x + -3 + 2x = 4(6x + -3) + 6 Reorder the terms: -3 + 13x + 2x = 4(6x + -3) + 6 Combine like terms: 13x + 2x = 15x -3 + 15x = 4(6x + -3) + 6 Reorder the terms: -3 + 15x = 4(-3 + 6x) + 6 -3 + 15x = (-3 * 4 + 6x * 4) + 6 -3 + 15x = (-12 + 24x) + 6 Reorder the terms: -3 + 15x = -12 + 6 + 24x Combine like terms: -12 + 6 = -6 -3 + 15x = -6 + 24x Solving -3 + 15x = -6 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -3 + 15x + -24x = -6 + 24x + -24x Combine like terms: 15x + -24x = -9x -3 + -9x = -6 + 24x + -24x Combine like terms: 24x + -24x = 0 -3 + -9x = -6 + 0 -3 + -9x = -6 Add '3' to each side of the equation. -3 + 3 + -9x = -6 + 3 Combine like terms: -3 + 3 = 0 0 + -9x = -6 + 3 -9x = -6 + 3 Combine like terms: -6 + 3 = -3 -9x = -3 Divide each side by '-9'. x = 0.3333333333 Simplifying x = 0.3333333333
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