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Simplifying 5x + 6 = 3(2x + -4) + -10x Reorder the terms: 6 + 5x = 3(2x + -4) + -10x Reorder the terms: 6 + 5x = 3(-4 + 2x) + -10x 6 + 5x = (-4 * 3 + 2x * 3) + -10x 6 + 5x = (-12 + 6x) + -10x Combine like terms: 6x + -10x = -4x 6 + 5x = -12 + -4x Solving 6 + 5x = -12 + -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. 6 + 5x + 4x = -12 + -4x + 4x Combine like terms: 5x + 4x = 9x 6 + 9x = -12 + -4x + 4x Combine like terms: -4x + 4x = 0 6 + 9x = -12 + 0 6 + 9x = -12 Add '-6' to each side of the equation. 6 + -6 + 9x = -12 + -6 Combine like terms: 6 + -6 = 0 0 + 9x = -12 + -6 9x = -12 + -6 Combine like terms: -12 + -6 = -18 9x = -18 Divide each side by '9'. x = -2 Simplifying x = -2
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