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Simplifying 4x + 7 = 0.5(8x + 12) + 1 Reorder the terms: 7 + 4x = 0.5(8x + 12) + 1 Reorder the terms: 7 + 4x = 0.5(12 + 8x) + 1 7 + 4x = (12 * 0.5 + 8x * 0.5) + 1 7 + 4x = (6 + 4x) + 1 Reorder the terms: 7 + 4x = 6 + 1 + 4x Combine like terms: 6 + 1 = 7 7 + 4x = 7 + 4x Add '-7' to each side of the equation. 7 + -7 + 4x = 7 + -7 + 4x Combine like terms: 7 + -7 = 0 0 + 4x = 7 + -7 + 4x 4x = 7 + -7 + 4x Combine like terms: 7 + -7 = 0 4x = 0 + 4x 4x = 4x Add '-4x' to each side of the equation. 4x + -4x = 4x + -4x Combine like terms: 4x + -4x = 0 0 = 4x + -4x Combine like terms: 4x + -4x = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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