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Simplifying 4x + 7 = 8(4x + -3) Reorder the terms: 7 + 4x = 8(4x + -3) Reorder the terms: 7 + 4x = 8(-3 + 4x) 7 + 4x = (-3 * 8 + 4x * 8) 7 + 4x = (-24 + 32x) Solving 7 + 4x = -24 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 7 + 4x + -32x = -24 + 32x + -32x Combine like terms: 4x + -32x = -28x 7 + -28x = -24 + 32x + -32x Combine like terms: 32x + -32x = 0 7 + -28x = -24 + 0 7 + -28x = -24 Add '-7' to each side of the equation. 7 + -7 + -28x = -24 + -7 Combine like terms: 7 + -7 = 0 0 + -28x = -24 + -7 -28x = -24 + -7 Combine like terms: -24 + -7 = -31 -28x = -31 Divide each side by '-28'. x = 1.107142857 Simplifying x = 1.107142857
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