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Simplifying 22 + -3x + 7 = 4(x + 5) Reorder the terms: 22 + 7 + -3x = 4(x + 5) Combine like terms: 22 + 7 = 29 29 + -3x = 4(x + 5) Reorder the terms: 29 + -3x = 4(5 + x) 29 + -3x = (5 * 4 + x * 4) 29 + -3x = (20 + 4x) Solving 29 + -3x = 20 + 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. 29 + -3x + -4x = 20 + 4x + -4x Combine like terms: -3x + -4x = -7x 29 + -7x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 29 + -7x = 20 + 0 29 + -7x = 20 Add '-29' to each side of the equation. 29 + -29 + -7x = 20 + -29 Combine like terms: 29 + -29 = 0 0 + -7x = 20 + -29 -7x = 20 + -29 Combine like terms: 20 + -29 = -9 -7x = -9 Divide each side by '-7'. x = 1.285714286 Simplifying x = 1.285714286
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