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Simplifying 4(x + -1) + 10 = 3x + 4(-1x + -1) Reorder the terms: 4(-1 + x) + 10 = 3x + 4(-1x + -1) (-1 * 4 + x * 4) + 10 = 3x + 4(-1x + -1) (-4 + 4x) + 10 = 3x + 4(-1x + -1) Reorder the terms: -4 + 10 + 4x = 3x + 4(-1x + -1) Combine like terms: -4 + 10 = 6 6 + 4x = 3x + 4(-1x + -1) Reorder the terms: 6 + 4x = 3x + 4(-1 + -1x) 6 + 4x = 3x + (-1 * 4 + -1x * 4) 6 + 4x = 3x + (-4 + -4x) Reorder the terms: 6 + 4x = -4 + 3x + -4x Combine like terms: 3x + -4x = -1x 6 + 4x = -4 + -1x Solving 6 + 4x = -4 + -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. 6 + 4x + x = -4 + -1x + x Combine like terms: 4x + x = 5x 6 + 5x = -4 + -1x + x Combine like terms: -1x + x = 0 6 + 5x = -4 + 0 6 + 5x = -4 Add '-6' to each side of the equation. 6 + -6 + 5x = -4 + -6 Combine like terms: 6 + -6 = 0 0 + 5x = -4 + -6 5x = -4 + -6 Combine like terms: -4 + -6 = -10 5x = -10 Divide each side by '5'. x = -2 Simplifying x = -2
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