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Simplifying 10(x + 5) + -23 = 4(x + -3) Reorder the terms: 10(5 + x) + -23 = 4(x + -3) (5 * 10 + x * 10) + -23 = 4(x + -3) (50 + 10x) + -23 = 4(x + -3) Reorder the terms: 50 + -23 + 10x = 4(x + -3) Combine like terms: 50 + -23 = 27 27 + 10x = 4(x + -3) Reorder the terms: 27 + 10x = 4(-3 + x) 27 + 10x = (-3 * 4 + x * 4) 27 + 10x = (-12 + 4x) Solving 27 + 10x = -12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 27 + 10x + -4x = -12 + 4x + -4x Combine like terms: 10x + -4x = 6x 27 + 6x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 27 + 6x = -12 + 0 27 + 6x = -12 Add '-27' to each side of the equation. 27 + -27 + 6x = -12 + -27 Combine like terms: 27 + -27 = 0 0 + 6x = -12 + -27 6x = -12 + -27 Combine like terms: -12 + -27 = -39 6x = -39 Divide each side by '6'. x = -6.5 Simplifying x = -6.5
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