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Simplifying 4x + -6 = 3(x + -10) + -4 Reorder the terms: -6 + 4x = 3(x + -10) + -4 Reorder the terms: -6 + 4x = 3(-10 + x) + -4 -6 + 4x = (-10 * 3 + x * 3) + -4 -6 + 4x = (-30 + 3x) + -4 Reorder the terms: -6 + 4x = -30 + -4 + 3x Combine like terms: -30 + -4 = -34 -6 + 4x = -34 + 3x Solving -6 + 4x = -34 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -6 + 4x + -3x = -34 + 3x + -3x Combine like terms: 4x + -3x = 1x -6 + 1x = -34 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + 1x = -34 + 0 -6 + 1x = -34 Add '6' to each side of the equation. -6 + 6 + 1x = -34 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = -34 + 6 1x = -34 + 6 Combine like terms: -34 + 6 = -28 1x = -28 Divide each side by '1'. x = -28 Simplifying x = -28
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