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Simplifying 1.5(6 + x) + 2.5x + -7 = 4(0.25 + 0.50x) + 2x + 1 (6 * 1.5 + x * 1.5) + 2.5x + -7 = 4(0.25 + 0.50x) + 2x + 1 (9 + 1.5x) + 2.5x + -7 = 4(0.25 + 0.50x) + 2x + 1 Reorder the terms: 9 + -7 + 1.5x + 2.5x = 4(0.25 + 0.50x) + 2x + 1 Combine like terms: 9 + -7 = 2 2 + 1.5x + 2.5x = 4(0.25 + 0.50x) + 2x + 1 Combine like terms: 1.5x + 2.5x = 4x 2 + 4x = 4(0.25 + 0.50x) + 2x + 1 2 + 4x = (0.25 * 4 + 0.50x * 4) + 2x + 1 2 + 4x = (1 + 2x) + 2x + 1 Reorder the terms: 2 + 4x = 1 + 1 + 2x + 2x Combine like terms: 1 + 1 = 2 2 + 4x = 2 + 2x + 2x Combine like terms: 2x + 2x = 4x 2 + 4x = 2 + 4x Add '-2' to each side of the equation. 2 + -2 + 4x = 2 + -2 + 4x Combine like terms: 2 + -2 = 0 0 + 4x = 2 + -2 + 4x 4x = 2 + -2 + 4x Combine like terms: 2 + -2 = 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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