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Simplifying 4(x + -3) = 23 + -7(4x + 1) Reorder the terms: 4(-3 + x) = 23 + -7(4x + 1) (-3 * 4 + x * 4) = 23 + -7(4x + 1) (-12 + 4x) = 23 + -7(4x + 1) Reorder the terms: -12 + 4x = 23 + -7(1 + 4x) -12 + 4x = 23 + (1 * -7 + 4x * -7) -12 + 4x = 23 + (-7 + -28x) Combine like terms: 23 + -7 = 16 -12 + 4x = 16 + -28x Solving -12 + 4x = 16 + -28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28x' to each side of the equation. -12 + 4x + 28x = 16 + -28x + 28x Combine like terms: 4x + 28x = 32x -12 + 32x = 16 + -28x + 28x Combine like terms: -28x + 28x = 0 -12 + 32x = 16 + 0 -12 + 32x = 16 Add '12' to each side of the equation. -12 + 12 + 32x = 16 + 12 Combine like terms: -12 + 12 = 0 0 + 32x = 16 + 12 32x = 16 + 12 Combine like terms: 16 + 12 = 28 32x = 28 Divide each side by '32'. x = 0.875 Simplifying x = 0.875
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