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Simplifying 3(5x + -4) = (7x + 4) + -23 Reorder the terms: 3(-4 + 5x) = (7x + 4) + -23 (-4 * 3 + 5x * 3) = (7x + 4) + -23 (-12 + 15x) = (7x + 4) + -23 Reorder the terms: -12 + 15x = (4 + 7x) + -23 Remove parenthesis around (4 + 7x) -12 + 15x = 4 + 7x + -23 Reorder the terms: -12 + 15x = 4 + -23 + 7x Combine like terms: 4 + -23 = -19 -12 + 15x = -19 + 7x Solving -12 + 15x = -19 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -12 + 15x + -7x = -19 + 7x + -7x Combine like terms: 15x + -7x = 8x -12 + 8x = -19 + 7x + -7x Combine like terms: 7x + -7x = 0 -12 + 8x = -19 + 0 -12 + 8x = -19 Add '12' to each side of the equation. -12 + 12 + 8x = -19 + 12 Combine like terms: -12 + 12 = 0 0 + 8x = -19 + 12 8x = -19 + 12 Combine like terms: -19 + 12 = -7 8x = -7 Divide each side by '8'. x = -0.875 Simplifying x = -0.875
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