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Simplifying 4(x + -7) = 5(x * 2) Reorder the terms: 4(-7 + x) = 5(x * 2) (-7 * 4 + x * 4) = 5(x * 2) (-28 + 4x) = 5(x * 2) Reorder the terms for easier multiplication: -28 + 4x = 5(2x) Remove parenthesis around (2x) -28 + 4x = 5 * 2x Multiply 5 * 2 -28 + 4x = 10x Solving -28 + 4x = 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -28 + 4x + -10x = 10x + -10x Combine like terms: 4x + -10x = -6x -28 + -6x = 10x + -10x Combine like terms: 10x + -10x = 0 -28 + -6x = 0 Add '28' to each side of the equation. -28 + 28 + -6x = 0 + 28 Combine like terms: -28 + 28 = 0 0 + -6x = 0 + 28 -6x = 0 + 28 Combine like terms: 0 + 28 = 28 -6x = 28 Divide each side by '-6'. x = -4.666666667 Simplifying x = -4.666666667
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