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Simplifying 6 + -4(x + 1) + 3x = x + 10 Reorder the terms: 6 + -4(1 + x) + 3x = x + 10 6 + (1 * -4 + x * -4) + 3x = x + 10 6 + (-4 + -4x) + 3x = x + 10 Combine like terms: 6 + -4 = 2 2 + -4x + 3x = x + 10 Combine like terms: -4x + 3x = -1x 2 + -1x = x + 10 Reorder the terms: 2 + -1x = 10 + x Solving 2 + -1x = 10 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 2 + -1x + -1x = 10 + x + -1x Combine like terms: -1x + -1x = -2x 2 + -2x = 10 + x + -1x Combine like terms: x + -1x = 0 2 + -2x = 10 + 0 2 + -2x = 10 Add '-2' to each side of the equation. 2 + -2 + -2x = 10 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = 10 + -2 -2x = 10 + -2 Combine like terms: 10 + -2 = 8 -2x = 8 Divide each side by '-2'. x = -4 Simplifying x = -4
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