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Simplifying 5(3x + -4) + -12 = 6x + -10 Reorder the terms: 5(-4 + 3x) + -12 = 6x + -10 (-4 * 5 + 3x * 5) + -12 = 6x + -10 (-20 + 15x) + -12 = 6x + -10 Reorder the terms: -20 + -12 + 15x = 6x + -10 Combine like terms: -20 + -12 = -32 -32 + 15x = 6x + -10 Reorder the terms: -32 + 15x = -10 + 6x Solving -32 + 15x = -10 + 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. -32 + 15x + -6x = -10 + 6x + -6x Combine like terms: 15x + -6x = 9x -32 + 9x = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 -32 + 9x = -10 + 0 -32 + 9x = -10 Add '32' to each side of the equation. -32 + 32 + 9x = -10 + 32 Combine like terms: -32 + 32 = 0 0 + 9x = -10 + 32 9x = -10 + 32 Combine like terms: -10 + 32 = 22 9x = 22 Divide each side by '9'. x = 2.444444444 Simplifying x = 2.444444444
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