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Simplifying 4(x + -2) + -3 = 11x + -1(x + -1) Reorder the terms: 4(-2 + x) + -3 = 11x + -1(x + -1) (-2 * 4 + x * 4) + -3 = 11x + -1(x + -1) (-8 + 4x) + -3 = 11x + -1(x + -1) Reorder the terms: -8 + -3 + 4x = 11x + -1(x + -1) Combine like terms: -8 + -3 = -11 -11 + 4x = 11x + -1(x + -1) Reorder the terms: -11 + 4x = 11x + -1(-1 + x) -11 + 4x = 11x + (-1 * -1 + x * -1) -11 + 4x = 11x + (1 + -1x) Reorder the terms: -11 + 4x = 1 + 11x + -1x Combine like terms: 11x + -1x = 10x -11 + 4x = 1 + 10x Solving -11 + 4x = 1 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -11 + 4x + -10x = 1 + 10x + -10x Combine like terms: 4x + -10x = -6x -11 + -6x = 1 + 10x + -10x Combine like terms: 10x + -10x = 0 -11 + -6x = 1 + 0 -11 + -6x = 1 Add '11' to each side of the equation. -11 + 11 + -6x = 1 + 11 Combine like terms: -11 + 11 = 0 0 + -6x = 1 + 11 -6x = 1 + 11 Combine like terms: 1 + 11 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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