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Simplifying 7 + 6x + -3x + x = 10x + -1(x + 1) Combine like terms: 6x + -3x = 3x 7 + 3x + x = 10x + -1(x + 1) Combine like terms: 3x + x = 4x 7 + 4x = 10x + -1(x + 1) Reorder the terms: 7 + 4x = 10x + -1(1 + x) 7 + 4x = 10x + (1 * -1 + x * -1) 7 + 4x = 10x + (-1 + -1x) Reorder the terms: 7 + 4x = -1 + 10x + -1x Combine like terms: 10x + -1x = 9x 7 + 4x = -1 + 9x Solving 7 + 4x = -1 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 7 + 4x + -9x = -1 + 9x + -9x Combine like terms: 4x + -9x = -5x 7 + -5x = -1 + 9x + -9x Combine like terms: 9x + -9x = 0 7 + -5x = -1 + 0 7 + -5x = -1 Add '-7' to each side of the equation. 7 + -7 + -5x = -1 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = -1 + -7 -5x = -1 + -7 Combine like terms: -1 + -7 = -8 -5x = -8 Divide each side by '-5'. x = 1.6 Simplifying x = 1.6
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