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