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Simplifying 4(x + -3) + 6x = 10 + -1x Reorder the terms: 4(-3 + x) + 6x = 10 + -1x (-3 * 4 + x * 4) + 6x = 10 + -1x (-12 + 4x) + 6x = 10 + -1x Combine like terms: 4x + 6x = 10x -12 + 10x = 10 + -1x Solving -12 + 10x = 10 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -12 + 10x + x = 10 + -1x + x Combine like terms: 10x + x = 11x -12 + 11x = 10 + -1x + x Combine like terms: -1x + x = 0 -12 + 11x = 10 + 0 -12 + 11x = 10 Add '12' to each side of the equation. -12 + 12 + 11x = 10 + 12 Combine like terms: -12 + 12 = 0 0 + 11x = 10 + 12 11x = 10 + 12 Combine like terms: 10 + 12 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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