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Simplifying 4(x + -3) + 7 = 5 + -1(x + 8) Reorder the terms: 4(-3 + x) + 7 = 5 + -1(x + 8) (-3 * 4 + x * 4) + 7 = 5 + -1(x + 8) (-12 + 4x) + 7 = 5 + -1(x + 8) Reorder the terms: -12 + 7 + 4x = 5 + -1(x + 8) Combine like terms: -12 + 7 = -5 -5 + 4x = 5 + -1(x + 8) Reorder the terms: -5 + 4x = 5 + -1(8 + x) -5 + 4x = 5 + (8 * -1 + x * -1) -5 + 4x = 5 + (-8 + -1x) Combine like terms: 5 + -8 = -3 -5 + 4x = -3 + -1x Solving -5 + 4x = -3 + -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. -5 + 4x + x = -3 + -1x + x Combine like terms: 4x + x = 5x -5 + 5x = -3 + -1x + x Combine like terms: -1x + x = 0 -5 + 5x = -3 + 0 -5 + 5x = -3 Add '5' to each side of the equation. -5 + 5 + 5x = -3 + 5 Combine like terms: -5 + 5 = 0 0 + 5x = -3 + 5 5x = -3 + 5 Combine like terms: -3 + 5 = 2 5x = 2 Divide each side by '5'. x = 0.4 Simplifying x = 0.4
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