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Simplifying 3x + -14 + 6x = 6(4x + -4) + 5 Reorder the terms: -14 + 3x + 6x = 6(4x + -4) + 5 Combine like terms: 3x + 6x = 9x -14 + 9x = 6(4x + -4) + 5 Reorder the terms: -14 + 9x = 6(-4 + 4x) + 5 -14 + 9x = (-4 * 6 + 4x * 6) + 5 -14 + 9x = (-24 + 24x) + 5 Reorder the terms: -14 + 9x = -24 + 5 + 24x Combine like terms: -24 + 5 = -19 -14 + 9x = -19 + 24x Solving -14 + 9x = -19 + 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. -14 + 9x + -24x = -19 + 24x + -24x Combine like terms: 9x + -24x = -15x -14 + -15x = -19 + 24x + -24x Combine like terms: 24x + -24x = 0 -14 + -15x = -19 + 0 -14 + -15x = -19 Add '14' to each side of the equation. -14 + 14 + -15x = -19 + 14 Combine like terms: -14 + 14 = 0 0 + -15x = -19 + 14 -15x = -19 + 14 Combine like terms: -19 + 14 = -5 -15x = -5 Divide each side by '-15'. x = 0.3333333333 Simplifying x = 0.3333333333
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