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Simplifying -4(x + -1) + -3 = x + 5 + -3(x + 4) Reorder the terms: -4(-1 + x) + -3 = x + 5 + -3(x + 4) (-1 * -4 + x * -4) + -3 = x + 5 + -3(x + 4) (4 + -4x) + -3 = x + 5 + -3(x + 4) Reorder the terms: 4 + -3 + -4x = x + 5 + -3(x + 4) Combine like terms: 4 + -3 = 1 1 + -4x = x + 5 + -3(x + 4) Reorder the terms: 1 + -4x = x + 5 + -3(4 + x) 1 + -4x = x + 5 + (4 * -3 + x * -3) 1 + -4x = x + 5 + (-12 + -3x) Reorder the terms: 1 + -4x = 5 + -12 + x + -3x Combine like terms: 5 + -12 = -7 1 + -4x = -7 + x + -3x Combine like terms: x + -3x = -2x 1 + -4x = -7 + -2x Solving 1 + -4x = -7 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 1 + -4x + 2x = -7 + -2x + 2x Combine like terms: -4x + 2x = -2x 1 + -2x = -7 + -2x + 2x Combine like terms: -2x + 2x = 0 1 + -2x = -7 + 0 1 + -2x = -7 Add '-1' to each side of the equation. 1 + -1 + -2x = -7 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = -7 + -1 -2x = -7 + -1 Combine like terms: -7 + -1 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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